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Simplifying 5(w + 3) = 8w + -6 Reorder the terms: 5(3 + w) = 8w + -6 (3 * 5 + w * 5) = 8w + -6 (15 + 5w) = 8w + -6 Reorder the terms: 15 + 5w = -6 + 8w Solving 15 + 5w = -6 + 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. 15 + 5w + -8w = -6 + 8w + -8w Combine like terms: 5w + -8w = -3w 15 + -3w = -6 + 8w + -8w Combine like terms: 8w + -8w = 0 15 + -3w = -6 + 0 15 + -3w = -6 Add '-15' to each side of the equation. 15 + -15 + -3w = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3w = -6 + -15 -3w = -6 + -15 Combine like terms: -6 + -15 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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