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Simplifying 9(w + 3) = 3w + 15 Reorder the terms: 9(3 + w) = 3w + 15 (3 * 9 + w * 9) = 3w + 15 (27 + 9w) = 3w + 15 Reorder the terms: 27 + 9w = 15 + 3w Solving 27 + 9w = 15 + 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. 27 + 9w + -3w = 15 + 3w + -3w Combine like terms: 9w + -3w = 6w 27 + 6w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 27 + 6w = 15 + 0 27 + 6w = 15 Add '-27' to each side of the equation. 27 + -27 + 6w = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 6w = 15 + -27 6w = 15 + -27 Combine like terms: 15 + -27 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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