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Simplifying -2(w + 2) + -1(5 + 9w) = -12w Reorder the terms: -2(2 + w) + -1(5 + 9w) = -12w (2 * -2 + w * -2) + -1(5 + 9w) = -12w (-4 + -2w) + -1(5 + 9w) = -12w -4 + -2w + (5 * -1 + 9w * -1) = -12w -4 + -2w + (-5 + -9w) = -12w Reorder the terms: -4 + -5 + -2w + -9w = -12w Combine like terms: -4 + -5 = -9 -9 + -2w + -9w = -12w Combine like terms: -2w + -9w = -11w -9 + -11w = -12w Solving -9 + -11w = -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -9 + -11w + 12w = -12w + 12w Combine like terms: -11w + 12w = 1w -9 + 1w = -12w + 12w Combine like terms: -12w + 12w = 0 -9 + 1w = 0 Add '9' to each side of the equation. -9 + 9 + 1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1w = 0 + 9 1w = 0 + 9 Combine like terms: 0 + 9 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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