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Simplifying 9(w + 5) = -3w + 21 Reorder the terms: 9(5 + w) = -3w + 21 (5 * 9 + w * 9) = -3w + 21 (45 + 9w) = -3w + 21 Reorder the terms: 45 + 9w = 21 + -3w Solving 45 + 9w = 21 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 45 + 9w + 3w = 21 + -3w + 3w Combine like terms: 9w + 3w = 12w 45 + 12w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 45 + 12w = 21 + 0 45 + 12w = 21 Add '-45' to each side of the equation. 45 + -45 + 12w = 21 + -45 Combine like terms: 45 + -45 = 0 0 + 12w = 21 + -45 12w = 21 + -45 Combine like terms: 21 + -45 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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