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: Write the given equation. (w+7)/(6) = (w+8)/(3) Step 2: Multiply both sides by the least common multiple of the denominators (6 and 3), which is 6, to eliminate the fractions. 6 · (w+7)/(6) = 6 · (w+8)/(3) w+7 = 2(w+8) Step 3: Distribute the 2 on the right side of the equation. w+7 = 2w+16 Step 4: Subtract w from both sides to gather w terms on one side. 7 = 2w - w + 16 7 = w + 16 Step 5: Subtract 16 from both sides to solve for w. 7 - 16 = w -9 = w The solution is: w = -9 3 done, 2 left today. You're making progress.