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