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Simplifying -6(2w + -4) + 8w = 2(w + 7) Reorder the terms: -6(-4 + 2w) + 8w = 2(w + 7) (-4 * -6 + 2w * -6) + 8w = 2(w + 7) (24 + -12w) + 8w = 2(w + 7) Combine like terms: -12w + 8w = -4w 24 + -4w = 2(w + 7) Reorder the terms: 24 + -4w = 2(7 + w) 24 + -4w = (7 * 2 + w * 2) 24 + -4w = (14 + 2w) Solving 24 + -4w = 14 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 24 + -4w + -2w = 14 + 2w + -2w Combine like terms: -4w + -2w = -6w 24 + -6w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -6w = 14 + 0 24 + -6w = 14 Add '-24' to each side of the equation. 24 + -24 + -6w = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -6w = 14 + -24 -6w = 14 + -24 Combine like terms: 14 + -24 = -10 -6w = -10 Divide each side by '-6'. w = 1.666666667 Simplifying w = 1.666666667
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