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Simplifying 3(5w + 2) = 2(3w + -6) Reorder the terms: 3(2 + 5w) = 2(3w + -6) (2 * 3 + 5w * 3) = 2(3w + -6) (6 + 15w) = 2(3w + -6) Reorder the terms: 6 + 15w = 2(-6 + 3w) 6 + 15w = (-6 * 2 + 3w * 2) 6 + 15w = (-12 + 6w) Solving 6 + 15w = -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. 6 + 15w + -6w = -12 + 6w + -6w Combine like terms: 15w + -6w = 9w 6 + 9w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 6 + 9w = -12 + 0 6 + 9w = -12 Add '-6' to each side of the equation. 6 + -6 + 9w = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9w = -12 + -6 9w = -12 + -6 Combine like terms: -12 + -6 = -18 9w = -18 Divide each side by '9'. w = -2 Simplifying w = -2
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