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Simplifying -2(5w + -9) + 2w = 4(w + 1) Reorder the terms: -2(-9 + 5w) + 2w = 4(w + 1) (-9 * -2 + 5w * -2) + 2w = 4(w + 1) (18 + -10w) + 2w = 4(w + 1) Combine like terms: -10w + 2w = -8w 18 + -8w = 4(w + 1) Reorder the terms: 18 + -8w = 4(1 + w) 18 + -8w = (1 * 4 + w * 4) 18 + -8w = (4 + 4w) Solving 18 + -8w = 4 + 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 = 4 + 4w + -4w Combine like terms: -8w + -4w = -12w 18 + -12w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + -12w = 4 + 0 18 + -12w = 4 Add '-18' to each side of the equation. 18 + -18 + -12w = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -12w = 4 + -18 -12w = 4 + -18 Combine like terms: 4 + -18 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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