Question: Solve for w. |w - 7| + 10 = 28 If there is more than one solution, separate them with commas. If…

Solve for w. |w - 7| + 10 = 28 If there is more than one solution, separate them with commas. If there is no solution, click on “No solution”. w = [ ]

Solution

To solve the equation: \[ |w - 7| + 10 = 28 \] First, isolate the absolute value expression. Subtract 10 from both sides: \[ |w - 7| = 18 \] Now, solve the absolute value equation by considering both cases: Case 1: \( w - 7 = 18 \) Add 7 to both sides: \[ w = 25 \] Case 2: \( w - 7 = -18 \) Add 7 to both sides: \[ w = -11 \] Therefore, the solutions are: \[ w = 25, -11 \]