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