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Simplifying -9w + 12 = 2(w + -5) Reorder the terms: 12 + -9w = 2(w + -5) Reorder the terms: 12 + -9w = 2(-5 + w) 12 + -9w = (-5 * 2 + w * 2) 12 + -9w = (-10 + 2w) Solving 12 + -9w = -10 + 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. 12 + -9w + -2w = -10 + 2w + -2w Combine like terms: -9w + -2w = -11w 12 + -11w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + -11w = -10 + 0 12 + -11w = -10 Add '-12' to each side of the equation. 12 + -12 + -11w = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -11w = -10 + -12 -11w = -10 + -12 Combine like terms: -10 + -12 = -22 -11w = -22 Divide each side by '-11'. w = 2 Simplifying w = 2
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