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Simplifying (96 + 2w) = 2(80 + -3w) Remove parenthesis around (96 + 2w) 96 + 2w = 2(80 + -3w) 96 + 2w = (80 * 2 + -3w * 2) 96 + 2w = (160 + -6w) Solving 96 + 2w = 160 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 96 + 2w + 6w = 160 + -6w + 6w Combine like terms: 2w + 6w = 8w 96 + 8w = 160 + -6w + 6w Combine like terms: -6w + 6w = 0 96 + 8w = 160 + 0 96 + 8w = 160 Add '-96' to each side of the equation. 96 + -96 + 8w = 160 + -96 Combine like terms: 96 + -96 = 0 0 + 8w = 160 + -96 8w = 160 + -96 Combine like terms: 160 + -96 = 64 8w = 64 Divide each side by '8'. w = 8 Simplifying w = 8
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