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Solve the equation: 7(w−9) = 4w − 42

April 1, 2026Mathematics

ScanSolve AI Answer

Answer

w=7

4 steps

Distribute the 7 on the left side of the equation.
The equation is $7(w-9) = 4w - 42$ .
$7w - 7 \times 9 = 4w - 42$ $7w - 63 = 4w - 42$
Subtract $4w$ from both sides of the equation to gather $w$ terms on one side.
$7w - 4w - 63 = 4w - 4w - 42$ $3w - 63 = -42$
Add 63 to both sides of the equation to gather constant terms on the other side.
$3w - 63 + 63 = -42 + 63$ $3w = 21$
Divide both sides by 3 to solve for $w$ .
$\frac{3w}{3} = \frac{21}{3}$ $w = 7$