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Simplifying 13 + -1(18 + 2w) = w + 2(w + 8) 13 + (18 * -1 + 2w * -1) = w + 2(w + 8) 13 + (-18 + -2w) = w + 2(w + 8) Combine like terms: 13 + -18 = -5 -5 + -2w = w + 2(w + 8) Reorder the terms: -5 + -2w = w + 2(8 + w) -5 + -2w = w + (8 * 2 + w * 2) -5 + -2w = w + (16 + 2w) Reorder the terms: -5 + -2w = 16 + w + 2w Combine like terms: w + 2w = 3w -5 + -2w = 16 + 3w Solving -5 + -2w = 16 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -5 + -2w + -3w = 16 + 3w + -3w Combine like terms: -2w + -3w = -5w -5 + -5w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -5w = 16 + 0 -5 + -5w = 16 Add '5' to each side of the equation. -5 + 5 + -5w = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -5w = 16 + 5 -5w = 16 + 5 Combine like terms: 16 + 5 = 21 -5w = 21 Divide each side by '-5'. w = -4.2 Simplifying w = -4.2
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