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Simplifying -7(3w + -2) + 8w = 5(w + 1) Reorder the terms: -7(-2 + 3w) + 8w = 5(w + 1) (-2 * -7 + 3w * -7) + 8w = 5(w + 1) (14 + -21w) + 8w = 5(w + 1) Combine like terms: -21w + 8w = -13w 14 + -13w = 5(w + 1) Reorder the terms: 14 + -13w = 5(1 + w) 14 + -13w = (1 * 5 + w * 5) 14 + -13w = (5 + 5w) Solving 14 + -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. 14 + -13w + -5w = 5 + 5w + -5w Combine like terms: -13w + -5w = -18w 14 + -18w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 14 + -18w = 5 + 0 14 + -18w = 5 Add '-14' to each side of the equation. 14 + -14 + -18w = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -18w = 5 + -14 -18w = 5 + -14 Combine like terms: 5 + -14 = -9 -18w = -9 Divide each side by '-18'. w = 0.5 Simplifying w = 0.5
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