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Simplifying 2w + -3(w + -2) = 9(w + -3) Reorder the terms: 2w + -3(-2 + w) = 9(w + -3) 2w + (-2 * -3 + w * -3) = 9(w + -3) 2w + (6 + -3w) = 9(w + -3) Reorder the terms: 6 + 2w + -3w = 9(w + -3) Combine like terms: 2w + -3w = -1w 6 + -1w = 9(w + -3) Reorder the terms: 6 + -1w = 9(-3 + w) 6 + -1w = (-3 * 9 + w * 9) 6 + -1w = (-27 + 9w) Solving 6 + -1w = -27 + 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. 6 + -1w + -9w = -27 + 9w + -9w Combine like terms: -1w + -9w = -10w 6 + -10w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 6 + -10w = -27 + 0 6 + -10w = -27 Add '-6' to each side of the equation. 6 + -6 + -10w = -27 + -6 Combine like terms: 6 + -6 = 0 0 + -10w = -27 + -6 -10w = -27 + -6 Combine like terms: -27 + -6 = -33 -10w = -33 Divide each side by '-10'. w = 3.3 Simplifying w = 3.3
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