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Simplifying -2(6w + -7) + 5w = 3(w + 6) Reorder the terms: -2(-7 + 6w) + 5w = 3(w + 6) (-7 * -2 + 6w * -2) + 5w = 3(w + 6) (14 + -12w) + 5w = 3(w + 6) Combine like terms: -12w + 5w = -7w 14 + -7w = 3(w + 6) Reorder the terms: 14 + -7w = 3(6 + w) 14 + -7w = (6 * 3 + w * 3) 14 + -7w = (18 + 3w) Solving 14 + -7w = 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. 14 + -7w + -3w = 18 + 3w + -3w Combine like terms: -7w + -3w = -10w 14 + -10w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + -10w = 18 + 0 14 + -10w = 18 Add '-14' to each side of the equation. 14 + -14 + -10w = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = 18 + -14 -10w = 18 + -14 Combine like terms: 18 + -14 = 4 -10w = 4 Divide each side by '-10'. w = -0.4 Simplifying w = -0.4
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