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Simplifying 2w + -9(w + -2) = 3(w + -2) Reorder the terms: 2w + -9(-2 + w) = 3(w + -2) 2w + (-2 * -9 + w * -9) = 3(w + -2) 2w + (18 + -9w) = 3(w + -2) Reorder the terms: 18 + 2w + -9w = 3(w + -2) Combine like terms: 2w + -9w = -7w 18 + -7w = 3(w + -2) Reorder the terms: 18 + -7w = 3(-2 + w) 18 + -7w = (-2 * 3 + w * 3) 18 + -7w = (-6 + 3w) Solving 18 + -7w = -6 + 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. 18 + -7w + -3w = -6 + 3w + -3w Combine like terms: -7w + -3w = -10w 18 + -10w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + -10w = -6 + 0 18 + -10w = -6 Add '-18' to each side of the equation. 18 + -18 + -10w = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -10w = -6 + -18 -10w = -6 + -18 Combine like terms: -6 + -18 = -24 -10w = -24 Divide each side by '-10'. w = 2.4 Simplifying w = 2.4
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