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Simplifying -3(7w + -6) + 8w = 5(w + 2) Reorder the terms: -3(-6 + 7w) + 8w = 5(w + 2) (-6 * -3 + 7w * -3) + 8w = 5(w + 2) (18 + -21w) + 8w = 5(w + 2) Combine like terms: -21w + 8w = -13w 18 + -13w = 5(w + 2) Reorder the terms: 18 + -13w = 5(2 + w) 18 + -13w = (2 * 5 + w * 5) 18 + -13w = (10 + 5w) Solving 18 + -13w = 10 + 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. 18 + -13w + -5w = 10 + 5w + -5w Combine like terms: -13w + -5w = -18w 18 + -18w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + -18w = 10 + 0 18 + -18w = 10 Add '-18' to each side of the equation. 18 + -18 + -18w = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -18w = 10 + -18 -18w = 10 + -18 Combine like terms: 10 + -18 = -8 -18w = -8 Divide each side by '-18'. w = 0.4444444444 Simplifying w = 0.4444444444
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