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Simplifying 3(w + 5) + -1(1 + -2w) = 4w Reorder the terms: 3(5 + w) + -1(1 + -2w) = 4w (5 * 3 + w * 3) + -1(1 + -2w) = 4w (15 + 3w) + -1(1 + -2w) = 4w 15 + 3w + (1 * -1 + -2w * -1) = 4w 15 + 3w + (-1 + 2w) = 4w Reorder the terms: 15 + -1 + 3w + 2w = 4w Combine like terms: 15 + -1 = 14 14 + 3w + 2w = 4w Combine like terms: 3w + 2w = 5w 14 + 5w = 4w Solving 14 + 5w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 14 + 5w + -4w = 4w + -4w Combine like terms: 5w + -4w = 1w 14 + 1w = 4w + -4w Combine like terms: 4w + -4w = 0 14 + 1w = 0 Add '-14' to each side of the equation. 14 + -14 + 1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = 0 + -14 1w = 0 + -14 Combine like terms: 0 + -14 = -14 1w = -14 Divide each side by '1'. w = -14 Simplifying w = -14
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