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Simplifying -10 = 6(w + 6) + 5w Reorder the terms: -10 = 6(6 + w) + 5w -10 = (6 * 6 + w * 6) + 5w -10 = (36 + 6w) + 5w Combine like terms: 6w + 5w = 11w -10 = 36 + 11w Solving -10 = 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. -10 + -11w = 36 + 11w + -11w Combine like terms: 11w + -11w = 0 -10 + -11w = 36 + 0 -10 + -11w = 36 Add '10' to each side of the equation. -10 + 10 + -11w = 36 + 10 Combine like terms: -10 + 10 = 0 0 + -11w = 36 + 10 -11w = 36 + 10 Combine like terms: 36 + 10 = 46 -11w = 46 Divide each side by '-11'. w = -4.181818182 Simplifying w = -4.181818182
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