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Simplifying 6w + 5 = -1(5w + 7) Reorder the terms: 5 + 6w = -1(5w + 7) Reorder the terms: 5 + 6w = -1(7 + 5w) 5 + 6w = (7 * -1 + 5w * -1) 5 + 6w = (-7 + -5w) Solving 5 + 6w = -7 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 5 + 6w + 5w = -7 + -5w + 5w Combine like terms: 6w + 5w = 11w 5 + 11w = -7 + -5w + 5w Combine like terms: -5w + 5w = 0 5 + 11w = -7 + 0 5 + 11w = -7 Add '-5' to each side of the equation. 5 + -5 + 11w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 11w = -7 + -5 11w = -7 + -5 Combine like terms: -7 + -5 = -12 11w = -12 Divide each side by '11'. w = -1.090909091 Simplifying w = -1.090909091
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