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Simplifying 5(w + 3) + -8 = 3 + -1(2 + -2w) Reorder the terms: 5(3 + w) + -8 = 3 + -1(2 + -2w) (3 * 5 + w * 5) + -8 = 3 + -1(2 + -2w) (15 + 5w) + -8 = 3 + -1(2 + -2w) Reorder the terms: 15 + -8 + 5w = 3 + -1(2 + -2w) Combine like terms: 15 + -8 = 7 7 + 5w = 3 + -1(2 + -2w) 7 + 5w = 3 + (2 * -1 + -2w * -1) 7 + 5w = 3 + (-2 + 2w) Combine like terms: 3 + -2 = 1 7 + 5w = 1 + 2w Solving 7 + 5w = 1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 7 + 5w + -2w = 1 + 2w + -2w Combine like terms: 5w + -2w = 3w 7 + 3w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + 3w = 1 + 0 7 + 3w = 1 Add '-7' to each side of the equation. 7 + -7 + 3w = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 1 + -7 3w = 1 + -7 Combine like terms: 1 + -7 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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