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Simplifying 5(w + 1) = 8w + -25 Reorder the terms: 5(1 + w) = 8w + -25 (1 * 5 + w * 5) = 8w + -25 (5 + 5w) = 8w + -25 Reorder the terms: 5 + 5w = -25 + 8w Solving 5 + 5w = -25 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 5 + 5w + -8w = -25 + 8w + -8w Combine like terms: 5w + -8w = -3w 5 + -3w = -25 + 8w + -8w Combine like terms: 8w + -8w = 0 5 + -3w = -25 + 0 5 + -3w = -25 Add '-5' to each side of the equation. 5 + -5 + -3w = -25 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = -25 + -5 -3w = -25 + -5 Combine like terms: -25 + -5 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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