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Simplifying 9 + 2(4w + -3) = -3(-3w + -5) + 9w Reorder the terms: 9 + 2(-3 + 4w) = -3(-3w + -5) + 9w 9 + (-3 * 2 + 4w * 2) = -3(-3w + -5) + 9w 9 + (-6 + 8w) = -3(-3w + -5) + 9w Combine like terms: 9 + -6 = 3 3 + 8w = -3(-3w + -5) + 9w Reorder the terms: 3 + 8w = -3(-5 + -3w) + 9w 3 + 8w = (-5 * -3 + -3w * -3) + 9w 3 + 8w = (15 + 9w) + 9w Combine like terms: 9w + 9w = 18w 3 + 8w = 15 + 18w Solving 3 + 8w = 15 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 3 + 8w + -18w = 15 + 18w + -18w Combine like terms: 8w + -18w = -10w 3 + -10w = 15 + 18w + -18w Combine like terms: 18w + -18w = 0 3 + -10w = 15 + 0 3 + -10w = 15 Add '-3' to each side of the equation. 3 + -3 + -10w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -10w = 15 + -3 -10w = 15 + -3 Combine like terms: 15 + -3 = 12 -10w = 12 Divide each side by '-10'. w = -1.2 Simplifying w = -1.2
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