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Simplifying 5(w + 3) + 5(w + 4) = 1(w + -2) Reorder the terms: 5(3 + w) + 5(w + 4) = 1(w + -2) (3 * 5 + w * 5) + 5(w + 4) = 1(w + -2) (15 + 5w) + 5(w + 4) = 1(w + -2) Reorder the terms: 15 + 5w + 5(4 + w) = 1(w + -2) 15 + 5w + (4 * 5 + w * 5) = 1(w + -2) 15 + 5w + (20 + 5w) = 1(w + -2) Reorder the terms: 15 + 20 + 5w + 5w = 1(w + -2) Combine like terms: 15 + 20 = 35 35 + 5w + 5w = 1(w + -2) Combine like terms: 5w + 5w = 10w 35 + 10w = 1(w + -2) Reorder the terms: 35 + 10w = 1(-2 + w) 35 + 10w = (-2 * 1 + w * 1) 35 + 10w = (-2 + 1w) Solving 35 + 10w = -2 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 35 + 10w + -1w = -2 + 1w + -1w Combine like terms: 10w + -1w = 9w 35 + 9w = -2 + 1w + -1w Combine like terms: 1w + -1w = 0 35 + 9w = -2 + 0 35 + 9w = -2 Add '-35' to each side of the equation. 35 + -35 + 9w = -2 + -35 Combine like terms: 35 + -35 = 0 0 + 9w = -2 + -35 9w = -2 + -35 Combine like terms: -2 + -35 = -37 9w = -37 Divide each side by '9'. w = -4.111111111 Simplifying w = -4.111111111
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