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Simplifying -2(6w + -9) + 4w = 4(w + 8) Reorder the terms: -2(-9 + 6w) + 4w = 4(w + 8) (-9 * -2 + 6w * -2) + 4w = 4(w + 8) (18 + -12w) + 4w = 4(w + 8) Combine like terms: -12w + 4w = -8w 18 + -8w = 4(w + 8) Reorder the terms: 18 + -8w = 4(8 + w) 18 + -8w = (8 * 4 + w * 4) 18 + -8w = (32 + 4w) Solving 18 + -8w = 32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 18 + -8w + -4w = 32 + 4w + -4w Combine like terms: -8w + -4w = -12w 18 + -12w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + -12w = 32 + 0 18 + -12w = 32 Add '-18' to each side of the equation. 18 + -18 + -12w = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -12w = 32 + -18 -12w = 32 + -18 Combine like terms: 32 + -18 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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