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Simplifying -7(2w + -2) + 5w = 6(w + 4) Reorder the terms: -7(-2 + 2w) + 5w = 6(w + 4) (-2 * -7 + 2w * -7) + 5w = 6(w + 4) (14 + -14w) + 5w = 6(w + 4) Combine like terms: -14w + 5w = -9w 14 + -9w = 6(w + 4) Reorder the terms: 14 + -9w = 6(4 + w) 14 + -9w = (4 * 6 + w * 6) 14 + -9w = (24 + 6w) Solving 14 + -9w = 24 + 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. 14 + -9w + -6w = 24 + 6w + -6w Combine like terms: -9w + -6w = -15w 14 + -15w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + -15w = 24 + 0 14 + -15w = 24 Add '-14' to each side of the equation. 14 + -14 + -15w = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -15w = 24 + -14 -15w = 24 + -14 Combine like terms: 24 + -14 = 10 -15w = 10 Divide each side by '-15'. w = -0.6666666667 Simplifying w = -0.6666666667
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