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Simplifying 9 = 6(w + -3) + 3w Reorder the terms: 9 = 6(-3 + w) + 3w 9 = (-3 * 6 + w * 6) + 3w 9 = (-18 + 6w) + 3w Combine like terms: 6w + 3w = 9w 9 = -18 + 9w Solving 9 = -18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 9 + -9w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -9w = -18 + 0 9 + -9w = -18 Add '-9' to each side of the equation. 9 + -9 + -9w = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -9w = -18 + -9 -9w = -18 + -9 Combine like terms: -18 + -9 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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