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Simplifying -6(w + -6) + -1(9 + 5w) = -12 Reorder the terms: -6(-6 + w) + -1(9 + 5w) = -12 (-6 * -6 + w * -6) + -1(9 + 5w) = -12 (36 + -6w) + -1(9 + 5w) = -12 36 + -6w + (9 * -1 + 5w * -1) = -12 36 + -6w + (-9 + -5w) = -12 Reorder the terms: 36 + -9 + -6w + -5w = -12 Combine like terms: 36 + -9 = 27 27 + -6w + -5w = -12 Combine like terms: -6w + -5w = -11w 27 + -11w = -12 Solving 27 + -11w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -11w = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -11w = -12 + -27 -11w = -12 + -27 Combine like terms: -12 + -27 = -39 -11w = -39 Divide each side by '-11'. w = 3.545454545 Simplifying w = 3.545454545
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