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Simplifying 5(6 + w) = 4(7 + w) (6 * 5 + w * 5) = 4(7 + w) (30 + 5w) = 4(7 + w) 30 + 5w = (7 * 4 + w * 4) 30 + 5w = (28 + 4w) Solving 30 + 5w = 28 + 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. 30 + 5w + -4w = 28 + 4w + -4w Combine like terms: 5w + -4w = 1w 30 + 1w = 28 + 4w + -4w Combine like terms: 4w + -4w = 0 30 + 1w = 28 + 0 30 + 1w = 28 Add '-30' to each side of the equation. 30 + -30 + 1w = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 1w = 28 + -30 1w = 28 + -30 Combine like terms: 28 + -30 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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