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Simplifying 4(w + 4) + -2(w + -2) = 25 Reorder the terms: 4(4 + w) + -2(w + -2) = 25 (4 * 4 + w * 4) + -2(w + -2) = 25 (16 + 4w) + -2(w + -2) = 25 Reorder the terms: 16 + 4w + -2(-2 + w) = 25 16 + 4w + (-2 * -2 + w * -2) = 25 16 + 4w + (4 + -2w) = 25 Reorder the terms: 16 + 4 + 4w + -2w = 25 Combine like terms: 16 + 4 = 20 20 + 4w + -2w = 25 Combine like terms: 4w + -2w = 2w 20 + 2w = 25 Solving 20 + 2w = 25 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2w = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 25 + -20 2w = 25 + -20 Combine like terms: 25 + -20 = 5 2w = 5 Divide each side by '2'. w = 2.5 Simplifying w = 2.5
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