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Simplifying -2(7w + -4) + w = 5(w + 1) Reorder the terms: -2(-4 + 7w) + w = 5(w + 1) (-4 * -2 + 7w * -2) + w = 5(w + 1) (8 + -14w) + w = 5(w + 1) Combine like terms: -14w + w = -13w 8 + -13w = 5(w + 1) Reorder the terms: 8 + -13w = 5(1 + w) 8 + -13w = (1 * 5 + w * 5) 8 + -13w = (5 + 5w) Solving 8 + -13w = 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. 8 + -13w + -5w = 5 + 5w + -5w Combine like terms: -13w + -5w = -18w 8 + -18w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -18w = 5 + 0 8 + -18w = 5 Add '-8' to each side of the equation. 8 + -8 + -18w = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -18w = 5 + -8 -18w = 5 + -8 Combine like terms: 5 + -8 = -3 -18w = -3 Divide each side by '-18'. w = 0.1666666667 Simplifying w = 0.1666666667
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