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Simplifying 3(4 + w) = 2(5 + w) (4 * 3 + w * 3) = 2(5 + w) (12 + 3w) = 2(5 + w) 12 + 3w = (5 * 2 + w * 2) 12 + 3w = (10 + 2w) Solving 12 + 3w = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 12 + 3w + -2w = 10 + 2w + -2w Combine like terms: 3w + -2w = 1w 12 + 1w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 1w = 10 + 0 12 + 1w = 10 Add '-12' to each side of the equation. 12 + -12 + 1w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 10 + -12 1w = 10 + -12 Combine like terms: 10 + -12 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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