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Simplifying 7w + 7 + -2(-2w + -2) = 5(w + -1) Reorder the terms: 7w + 7 + -2(-2 + -2w) = 5(w + -1) 7w + 7 + (-2 * -2 + -2w * -2) = 5(w + -1) 7w + 7 + (4 + 4w) = 5(w + -1) Reorder the terms: 7 + 4 + 7w + 4w = 5(w + -1) Combine like terms: 7 + 4 = 11 11 + 7w + 4w = 5(w + -1) Combine like terms: 7w + 4w = 11w 11 + 11w = 5(w + -1) Reorder the terms: 11 + 11w = 5(-1 + w) 11 + 11w = (-1 * 5 + w * 5) 11 + 11w = (-5 + 5w) Solving 11 + 11w = -5 + 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. 11 + 11w + -5w = -5 + 5w + -5w Combine like terms: 11w + -5w = 6w 11 + 6w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 11 + 6w = -5 + 0 11 + 6w = -5 Add '-11' to each side of the equation. 11 + -11 + 6w = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 6w = -5 + -11 6w = -5 + -11 Combine like terms: -5 + -11 = -16 6w = -16 Divide each side by '6'. w = -2.666666667 Simplifying w = -2.666666667
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