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Simplifying -5(2w + 2) + -1w = 12 Reorder the terms: -5(2 + 2w) + -1w = 12 (2 * -5 + 2w * -5) + -1w = 12 (-10 + -10w) + -1w = 12 Combine like terms: -10w + -1w = -11w -10 + -11w = 12 Solving -10 + -11w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. 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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