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Simplifying 5(w + 3) + -8w = 21 Reorder the terms: 5(3 + w) + -8w = 21 (3 * 5 + w * 5) + -8w = 21 (15 + 5w) + -8w = 21 Combine like terms: 5w + -8w = -3w 15 + -3w = 21 Solving 15 + -3w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3w = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -3w = 21 + -15 -3w = 21 + -15 Combine like terms: 21 + -15 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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