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Simplifying -2(6w + -1) + 9w = 6 + 3(5w + -6) Reorder the terms: -2(-1 + 6w) + 9w = 6 + 3(5w + -6) (-1 * -2 + 6w * -2) + 9w = 6 + 3(5w + -6) (2 + -12w) + 9w = 6 + 3(5w + -6) Combine like terms: -12w + 9w = -3w 2 + -3w = 6 + 3(5w + -6) Reorder the terms: 2 + -3w = 6 + 3(-6 + 5w) 2 + -3w = 6 + (-6 * 3 + 5w * 3) 2 + -3w = 6 + (-18 + 15w) Combine like terms: 6 + -18 = -12 2 + -3w = -12 + 15w Solving 2 + -3w = -12 + 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. 2 + -3w + -15w = -12 + 15w + -15w Combine like terms: -3w + -15w = -18w 2 + -18w = -12 + 15w + -15w Combine like terms: 15w + -15w = 0 2 + -18w = -12 + 0 2 + -18w = -12 Add '-2' to each side of the equation. 2 + -2 + -18w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -18w = -12 + -2 -18w = -12 + -2 Combine like terms: -12 + -2 = -14 -18w = -14 Divide each side by '-18'. w = 0.7777777778 Simplifying w = 0.7777777778
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