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Simplifying 13 = 5(w + 2) + -8w Reorder the terms: 13 = 5(2 + w) + -8w 13 = (2 * 5 + w * 5) + -8w 13 = (10 + 5w) + -8w Combine like terms: 5w + -8w = -3w 13 = 10 + -3w Solving 13 = 10 + -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. 13 + 3w = 10 + -3w + 3w Combine like terms: -3w + 3w = 0 13 + 3w = 10 + 0 13 + 3w = 10 Add '-13' to each side of the equation. 13 + -13 + 3w = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 3w = 10 + -13 3w = 10 + -13 Combine like terms: 10 + -13 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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