Solve for w. -6(w-4)+8w=2(w+9)

Distribute -6: Distribute -6 into the parentheses (w-4). -6(w-4) = -6w + 24Distribute 2: Distribute 2 into the parentheses (w+9). 2(w+9) = 2w + 18Combine like terms: Combine like terms on the left side of the equation. -6w + 24 + 8w = 2w + 18Combine w terms: Combine the w terms on the left side. (-6w + 8w) + 24 = 2w + 18 2w + 24 = 2w + 18Subtract 2w: Subtract 2w from both sides of the equation to get the constants on one side and the variable terms on the other. 2w + 24 - 2w = 2w + 18 - 2w 24 = 18

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Solve for $w$ . $\newline$ $-6(w-4)+8 w=2(w+9)$

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Algebra 2

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Q. Solve for

w

\newline

-6(w-4)+8 w=2(w+9)

Distribute $-6$ : Distribute $-6$ into the parentheses $(w-4)$ . $-6(w-4) = -6w + 24$
Distribute $2$ : Distribute $2$ into the parentheses $(w+9)$ . $\newline$ $2(w+9) = 2w + 18$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $-6w + 24 + 8w = 2w + 18$
Combine w terms: Combine the w terms on the left side. $\newline$ $(-6w + 8w) + 24 = 2w + 18$ $\newline$ $2w + 24 = 2w + 18$
Subtract $2w$ : Subtract $2w$ from both sides of the equation to get the constants on one side and the variable terms on the other. $\newline$ $2w + 24 - 2w = 2w + 18 - 2w$ $\newline$ $24 = 18$