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Simplifying -7(2w + -4) + 8w = 6(w + 6) Reorder the terms: -7(-4 + 2w) + 8w = 6(w + 6) (-4 * -7 + 2w * -7) + 8w = 6(w + 6) (28 + -14w) + 8w = 6(w + 6) Combine like terms: -14w + 8w = -6w 28 + -6w = 6(w + 6) Reorder the terms: 28 + -6w = 6(6 + w) 28 + -6w = (6 * 6 + w * 6) 28 + -6w = (36 + 6w) Solving 28 + -6w = 36 + 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. 28 + -6w + -6w = 36 + 6w + -6w Combine like terms: -6w + -6w = -12w 28 + -12w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 28 + -12w = 36 + 0 28 + -12w = 36 Add '-28' to each side of the equation. 28 + -28 + -12w = 36 + -28 Combine like terms: 28 + -28 = 0 0 + -12w = 36 + -28 -12w = 36 + -28 Combine like terms: 36 + -28 = 8 -12w = 8 Divide each side by '-12'. w = -0.6666666667 Simplifying w = -0.6666666667
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