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Simplifying 13 = -5w + 2(w + 8) Reorder the terms: 13 = -5w + 2(8 + w) 13 = -5w + (8 * 2 + w * 2) 13 = -5w + (16 + 2w) Reorder the terms: 13 = 16 + -5w + 2w Combine like terms: -5w + 2w = -3w 13 = 16 + -3w Solving 13 = 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. 13 + 3w = 16 + -3w + 3w Combine like terms: -3w + 3w = 0 13 + 3w = 16 + 0 13 + 3w = 16 Add '-13' to each side of the equation. 13 + -13 + 3w = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 3w = 16 + -13 3w = 16 + -13 Combine like terms: 16 + -13 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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