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Simplifying 3(w + 6) = 9(w + -2) Reorder the terms: 3(6 + w) = 9(w + -2) (6 * 3 + w * 3) = 9(w + -2) (18 + 3w) = 9(w + -2) Reorder the terms: 18 + 3w = 9(-2 + w) 18 + 3w = (-2 * 9 + w * 9) 18 + 3w = (-18 + 9w) Solving 18 + 3w = -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. 18 + 3w + -9w = -18 + 9w + -9w Combine like terms: 3w + -9w = -6w 18 + -6w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 18 + -6w = -18 + 0 18 + -6w = -18 Add '-18' to each side of the equation. 18 + -18 + -6w = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -6w = -18 + -18 -6w = -18 + -18 Combine like terms: -18 + -18 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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