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Simplifying -8 = 2(w + 8) + -5w Reorder the terms: -8 = 2(8 + w) + -5w -8 = (8 * 2 + w * 2) + -5w -8 = (16 + 2w) + -5w Combine like terms: 2w + -5w = -3w -8 = 16 + -3w Solving -8 = 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. -8 + 3w = 16 + -3w + 3w Combine like terms: -3w + 3w = 0 -8 + 3w = 16 + 0 -8 + 3w = 16 Add '8' to each side of the equation. -8 + 8 + 3w = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 16 + 8 3w = 16 + 8 Combine like terms: 16 + 8 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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