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Simplifying -7 = 5(w + 3) + 6w Reorder the terms: -7 = 5(3 + w) + 6w -7 = (3 * 5 + w * 5) + 6w -7 = (15 + 5w) + 6w Combine like terms: 5w + 6w = 11w -7 = 15 + 11w Solving -7 = 15 + 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. -7 + -11w = 15 + 11w + -11w Combine like terms: 11w + -11w = 0 -7 + -11w = 15 + 0 -7 + -11w = 15 Add '7' to each side of the equation. -7 + 7 + -11w = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -11w = 15 + 7 -11w = 15 + 7 Combine like terms: 15 + 7 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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