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Simplifying 3(w + 3) = -3(5w + -2) + 3w Reorder the terms: 3(3 + w) = -3(5w + -2) + 3w (3 * 3 + w * 3) = -3(5w + -2) + 3w (9 + 3w) = -3(5w + -2) + 3w Reorder the terms: 9 + 3w = -3(-2 + 5w) + 3w 9 + 3w = (-2 * -3 + 5w * -3) + 3w 9 + 3w = (6 + -15w) + 3w Combine like terms: -15w + 3w = -12w 9 + 3w = 6 + -12w Solving 9 + 3w = 6 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 9 + 3w + 12w = 6 + -12w + 12w Combine like terms: 3w + 12w = 15w 9 + 15w = 6 + -12w + 12w Combine like terms: -12w + 12w = 0 9 + 15w = 6 + 0 9 + 15w = 6 Add '-9' to each side of the equation. 9 + -9 + 15w = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 15w = 6 + -9 15w = 6 + -9 Combine like terms: 6 + -9 = -3 15w = -3 Divide each side by '15'. w = -0.2 Simplifying w = -0.2
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