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Simplifying 9(w + 2) = 5w + -6 Reorder the terms: 9(2 + w) = 5w + -6 (2 * 9 + w * 9) = 5w + -6 (18 + 9w) = 5w + -6 Reorder the terms: 18 + 9w = -6 + 5w Solving 18 + 9w = -6 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 18 + 9w + -5w = -6 + 5w + -5w Combine like terms: 9w + -5w = 4w 18 + 4w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + 4w = -6 + 0 18 + 4w = -6 Add '-18' to each side of the equation. 18 + -18 + 4w = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = -6 + -18 4w = -6 + -18 Combine like terms: -6 + -18 = -24 4w = -24 Divide each side by '4'. w = -6 Simplifying w = -6
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