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Simplifying 5(w + 2) = 8w + -14 Reorder the terms: 5(2 + w) = 8w + -14 (2 * 5 + w * 5) = 8w + -14 (10 + 5w) = 8w + -14 Reorder the terms: 10 + 5w = -14 + 8w Solving 10 + 5w = -14 + 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. 10 + 5w + -8w = -14 + 8w + -8w Combine like terms: 5w + -8w = -3w 10 + -3w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 10 + -3w = -14 + 0 10 + -3w = -14 Add '-10' to each side of the equation. 10 + -10 + -3w = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = -14 + -10 -3w = -14 + -10 Combine like terms: -14 + -10 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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