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Simplifying -3(6w + -4) + 7w = 3(w + 6) Reorder the terms: -3(-4 + 6w) + 7w = 3(w + 6) (-4 * -3 + 6w * -3) + 7w = 3(w + 6) (12 + -18w) + 7w = 3(w + 6) Combine like terms: -18w + 7w = -11w 12 + -11w = 3(w + 6) Reorder the terms: 12 + -11w = 3(6 + w) 12 + -11w = (6 * 3 + w * 3) 12 + -11w = (18 + 3w) Solving 12 + -11w = 18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 12 + -11w + -3w = 18 + 3w + -3w Combine like terms: -11w + -3w = -14w 12 + -14w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -14w = 18 + 0 12 + -14w = 18 Add '-12' to each side of the equation. 12 + -12 + -14w = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -14w = 18 + -12 -14w = 18 + -12 Combine like terms: 18 + -12 = 6 -14w = 6 Divide each side by '-14'. w = -0.4285714286 Simplifying w = -0.4285714286
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