This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Distribute the 7 on the left side of the equation. The equation is 7(w-9) = 4w - 42. 7w - 7 × 9 = 4w - 42 7w - 63 = 4w - 42 Step 2: Subtract 4w from both sides of the equation to gather w terms on one side. 7w - 4w - 63 = 4w - 4w - 42 3w - 63 = -42 Step 3: Add 63 to both sides of the equation to gather constant terms on the other side. 3w - 63 + 63 = -42 + 63 3w = 21 Step 4: Divide both sides by 3 to solve for w. (3w)/(3) = (21)/(3) w = 7 The solution is: w=7