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Simplifying 4(7 + w) = 3(5 + w) (7 * 4 + w * 4) = 3(5 + w) (28 + 4w) = 3(5 + w) 28 + 4w = (5 * 3 + w * 3) 28 + 4w = (15 + 3w) Solving 28 + 4w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 28 + 4w + -3w = 15 + 3w + -3w Combine like terms: 4w + -3w = 1w 28 + 1w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + 1w = 15 + 0 28 + 1w = 15 Add '-28' to each side of the equation. 28 + -28 + 1w = 15 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 15 + -28 1w = 15 + -28 Combine like terms: 15 + -28 = -13 1w = -13 Divide each side by '1'. w = -13 Simplifying w = -13
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