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Simplifying 3(w + 3) = -2(9w + -9) + 3w Reorder the terms: 3(3 + w) = -2(9w + -9) + 3w (3 * 3 + w * 3) = -2(9w + -9) + 3w (9 + 3w) = -2(9w + -9) + 3w Reorder the terms: 9 + 3w = -2(-9 + 9w) + 3w 9 + 3w = (-9 * -2 + 9w * -2) + 3w 9 + 3w = (18 + -18w) + 3w Combine like terms: -18w + 3w = -15w 9 + 3w = 18 + -15w Solving 9 + 3w = 18 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 9 + 3w + 15w = 18 + -15w + 15w Combine like terms: 3w + 15w = 18w 9 + 18w = 18 + -15w + 15w Combine like terms: -15w + 15w = 0 9 + 18w = 18 + 0 9 + 18w = 18 Add '-9' to each side of the equation. 9 + -9 + 18w = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 18w = 18 + -9 18w = 18 + -9 Combine like terms: 18 + -9 = 9 18w = 9 Divide each side by '18'. w = 0.5 Simplifying w = 0.5
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