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Simplifying 28 = 2(w + 8) + -5w Reorder the terms: 28 = 2(8 + w) + -5w 28 = (8 * 2 + w * 2) + -5w 28 = (16 + 2w) + -5w Combine like terms: 2w + -5w = -3w 28 = 16 + -3w Solving 28 = 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. 28 + 3w = 16 + -3w + 3w Combine like terms: -3w + 3w = 0 28 + 3w = 16 + 0 28 + 3w = 16 Add '-28' to each side of the equation. 28 + -28 + 3w = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 3w = 16 + -28 3w = 16 + -28 Combine like terms: 16 + -28 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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