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Simplifying 3(w + 4) + -2(w + -8) = 25 Reorder the terms: 3(4 + w) + -2(w + -8) = 25 (4 * 3 + w * 3) + -2(w + -8) = 25 (12 + 3w) + -2(w + -8) = 25 Reorder the terms: 12 + 3w + -2(-8 + w) = 25 12 + 3w + (-8 * -2 + w * -2) = 25 12 + 3w + (16 + -2w) = 25 Reorder the terms: 12 + 16 + 3w + -2w = 25 Combine like terms: 12 + 16 = 28 28 + 3w + -2w = 25 Combine like terms: 3w + -2w = 1w 28 + 1w = 25 Solving 28 + 1w = 25 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1w = 25 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 25 + -28 1w = 25 + -28 Combine like terms: 25 + -28 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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