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Simplifying 2(w + -9) = 9w + -32 Reorder the terms: 2(-9 + w) = 9w + -32 (-9 * 2 + w * 2) = 9w + -32 (-18 + 2w) = 9w + -32 Reorder the terms: -18 + 2w = -32 + 9w Solving -18 + 2w = -32 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -18 + 2w + -9w = -32 + 9w + -9w Combine like terms: 2w + -9w = -7w -18 + -7w = -32 + 9w + -9w Combine like terms: 9w + -9w = 0 -18 + -7w = -32 + 0 -18 + -7w = -32 Add '18' to each side of the equation. -18 + 18 + -7w = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -7w = -32 + 18 -7w = -32 + 18 Combine like terms: -32 + 18 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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