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Simplifying 2(w + 9) = -2(5w + -6) + 4w Reorder the terms: 2(9 + w) = -2(5w + -6) + 4w (9 * 2 + w * 2) = -2(5w + -6) + 4w (18 + 2w) = -2(5w + -6) + 4w Reorder the terms: 18 + 2w = -2(-6 + 5w) + 4w 18 + 2w = (-6 * -2 + 5w * -2) + 4w 18 + 2w = (12 + -10w) + 4w Combine like terms: -10w + 4w = -6w 18 + 2w = 12 + -6w Solving 18 + 2w = 12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 18 + 2w + 6w = 12 + -6w + 6w Combine like terms: 2w + 6w = 8w 18 + 8w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 18 + 8w = 12 + 0 18 + 8w = 12 Add '-18' to each side of the equation. 18 + -18 + 8w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8w = 12 + -18 8w = 12 + -18 Combine like terms: 12 + -18 = -6 8w = -6 Divide each side by '8'. w = -0.75 Simplifying w = -0.75
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