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Simplifying -2(6w + -9) + 4w = 2(w + 3) Reorder the terms: -2(-9 + 6w) + 4w = 2(w + 3) (-9 * -2 + 6w * -2) + 4w = 2(w + 3) (18 + -12w) + 4w = 2(w + 3) Combine like terms: -12w + 4w = -8w 18 + -8w = 2(w + 3) Reorder the terms: 18 + -8w = 2(3 + w) 18 + -8w = (3 * 2 + w * 2) 18 + -8w = (6 + 2w) Solving 18 + -8w = 6 + 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. 18 + -8w + -2w = 6 + 2w + -2w Combine like terms: -8w + -2w = -10w 18 + -10w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + -10w = 6 + 0 18 + -10w = 6 Add '-18' to each side of the equation. 18 + -18 + -10w = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -10w = 6 + -18 -10w = 6 + -18 Combine like terms: 6 + -18 = -12 -10w = -12 Divide each side by '-10'. w = 1.2 Simplifying w = 1.2
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