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Simplifying -30 = 5w + 6(w + 6) Reorder the terms: -30 = 5w + 6(6 + w) -30 = 5w + (6 * 6 + w * 6) -30 = 5w + (36 + 6w) Reorder the terms: -30 = 36 + 5w + 6w Combine like terms: 5w + 6w = 11w -30 = 36 + 11w Solving -30 = 36 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -30 + -11w = 36 + 11w + -11w Combine like terms: 11w + -11w = 0 -30 + -11w = 36 + 0 -30 + -11w = 36 Add '30' to each side of the equation. -30 + 30 + -11w = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -11w = 36 + 30 -11w = 36 + 30 Combine like terms: 36 + 30 = 66 -11w = 66 Divide each side by '-11'. w = -6 Simplifying w = -6
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