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Simplifying -2(6w + -5) + 4w = 2(w + 9) Reorder the terms: -2(-5 + 6w) + 4w = 2(w + 9) (-5 * -2 + 6w * -2) + 4w = 2(w + 9) (10 + -12w) + 4w = 2(w + 9) Combine like terms: -12w + 4w = -8w 10 + -8w = 2(w + 9) Reorder the terms: 10 + -8w = 2(9 + w) 10 + -8w = (9 * 2 + w * 2) 10 + -8w = (18 + 2w) Solving 10 + -8w = 18 + 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. 10 + -8w + -2w = 18 + 2w + -2w Combine like terms: -8w + -2w = -10w 10 + -10w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + -10w = 18 + 0 10 + -10w = 18 Add '-10' to each side of the equation. 10 + -10 + -10w = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -10w = 18 + -10 -10w = 18 + -10 Combine like terms: 18 + -10 = 8 -10w = 8 Divide each side by '-10'. w = -0.8 Simplifying w = -0.8
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