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Simplifying -3(5w + -3) + 2w = 5(w + 1) Reorder the terms: -3(-3 + 5w) + 2w = 5(w + 1) (-3 * -3 + 5w * -3) + 2w = 5(w + 1) (9 + -15w) + 2w = 5(w + 1) Combine like terms: -15w + 2w = -13w 9 + -13w = 5(w + 1) Reorder the terms: 9 + -13w = 5(1 + w) 9 + -13w = (1 * 5 + w * 5) 9 + -13w = (5 + 5w) Solving 9 + -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. 9 + -13w + -5w = 5 + 5w + -5w Combine like terms: -13w + -5w = -18w 9 + -18w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -18w = 5 + 0 9 + -18w = 5 Add '-9' to each side of the equation. 9 + -9 + -18w = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -18w = 5 + -9 -18w = 5 + -9 Combine like terms: 5 + -9 = -4 -18w = -4 Divide each side by '-18'. w = 0.2222222222 Simplifying w = 0.2222222222
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