En résolvant pour \( w \), on obtient : \( 2 \times 4w = 48 \) ce qui se simplifie en \( 8w = 48 \).

["Title: How to Solve for ( w ): A Step-by-Step Guide Using ( 2 \ imes 4w = 48 )", "Solving linear equations is a fundamental skill in algebra, and mastering it opens the door to more advanced math concepts. In this article, we’ll explore how to solve the equation ( 2 \ imes 4w = 48 ) to find the value of ( w ), step by step. Understanding this process helps build strong foundational skills—easy to apply when tackling more complex problems.", "### Step 1: Understand the Given Equation", "We begin with the equation:\n[ 2 \ imes 4w = 48 ]", "This equation expresses that two times ( 4w ) equals 48. While it may look simple, solving it properly ensures accuracy and clarity in the solution.", "---", "### Step 2: Simplify the Left Side", "First, simplify the left-hand side of the equation by multiplying the constants:\n[ 2 \ imes 4w = 8w ]", "So the equation becomes:\n[ 8w = 48 ]", "Now, the equation is easier to solve because both sides represent a single term times ( w ).", "---", "### Step 3: Solve for ( w )", "To isolate ( w ), divide both sides of the equation by 8:\n[ w = \frac{48}{8} ]", "Performing the division:\n[ w = 6 ]", "This means that when ( 8w = 48 ), the value of ( w ) that satisfies the equation is 6.", "---", "### Step 4: Verify the Solution", "It’s always a good practice to substitute the found value back into the original equation to confirm correctness:\n[ 2 \ imes 4w = 2 \ imes 4 \ imes 6 = 2 \ imes 24 = 48 ]", "The left-hand side equals the right-hand side, confirming that ( w = 6 ) is indeed the correct solution.", "---", "### Why This Method Matters", "Solving equations step-by-step strengthens your algebraic reasoning. Using the equation ( 2 \ imes 4w = 48 ) illustrates key concepts: simplifying expressions, applying inverse operations, and verifying solutions. These core skills are essential not only for math but for problem-solving across many disciplines.", "---", "### Final Answer", "Resolving ( 2 \ imes 4w = 48 ) step-by-step leads to:\n[ \boxed{w = 6} ]", "---", "### Practice Tip", "Try solving other similar equations, such as ( 3 \ imes 5w = 75 ), to reinforce your understanding and speed in simplification and solving.", "---", "Keywords: solving linear equations, algebra tutorial, how to solve for ( w ), equation simplification, step-by-step algebra, verify solution, basic algebra skills"]