Solve for w. -9 + 8w = 9 + 10w w = ____

Start Equation Isolation: Start with the equation -9 + 8w = 9 + 10w. To isolate the variable w, we need to get all the w terms on one side and the constant terms on the other side.Subtract 8w: Subtract 8w from both sides to move the w terms to one side. -9 + 8w - 8w = 9 + 10w - 8w This simplifies to: -9 = 9 + 2wSubtract 9: Subtract 9 from both sides to move the constants to one side. -9 - 9 = 9 + 2w - 9 This simplifies to: -18 = 2wDivide by 2: Divide both sides by 2 to solve for w. -18 / 2 = 2w / 2 This simplifies to: w = -9

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Solve for $w$ . $\newline$ $-9 + 8w = 9 + 10w$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

w

\newline

-9 + 8w = 9 + 10w

Start Equation Isolation: Start with the equation $-9 + 8w = 9 + 10w$ . To isolate the variable $w$ , we need to get all the $w$ terms on one side and the constant terms on the other side.
Subtract $8w$ : Subtract $8w$ from both sides to move the $w$ terms to one side. $\newline$ $-9 + 8w - 8w = 9 + 10w - 8w$ $\newline$ This simplifies to: $\newline$ $-9 = 9 + 2w$
Subtract $9$ : Subtract $9$ from both sides to move the constants to one side. $\newline$ $-9 - 9 = 9 + 2w - 9$ $\newline$ This simplifies to: $\newline$ $-18 = 2w$
Divide by $2$ : Divide both sides by $2$ to solve for $w$ . $-18 / 2 = 2w / 2$ This simplifies to: $w = -9$