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Simplifying 9(w + -8) = -2w + 16 Reorder the terms: 9(-8 + w) = -2w + 16 (-8 * 9 + w * 9) = -2w + 16 (-72 + 9w) = -2w + 16 Reorder the terms: -72 + 9w = 16 + -2w Solving -72 + 9w = 16 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -72 + 9w + 2w = 16 + -2w + 2w Combine like terms: 9w + 2w = 11w -72 + 11w = 16 + -2w + 2w Combine like terms: -2w + 2w = 0 -72 + 11w = 16 + 0 -72 + 11w = 16 Add '72' to each side of the equation. -72 + 72 + 11w = 16 + 72 Combine like terms: -72 + 72 = 0 0 + 11w = 16 + 72 11w = 16 + 72 Combine like terms: 16 + 72 = 88 11w = 88 Divide each side by '11'. w = 8 Simplifying w = 8
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