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Simplifying 3(w + 6) = -2(5w + -8) + 9w Reorder the terms: 3(6 + w) = -2(5w + -8) + 9w (6 * 3 + w * 3) = -2(5w + -8) + 9w (18 + 3w) = -2(5w + -8) + 9w Reorder the terms: 18 + 3w = -2(-8 + 5w) + 9w 18 + 3w = (-8 * -2 + 5w * -2) + 9w 18 + 3w = (16 + -10w) + 9w Combine like terms: -10w + 9w = -1w 18 + 3w = 16 + -1w Solving 18 + 3w = 16 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 18 + 3w + w = 16 + -1w + w Combine like terms: 3w + w = 4w 18 + 4w = 16 + -1w + w Combine like terms: -1w + w = 0 18 + 4w = 16 + 0 18 + 4w = 16 Add '-18' to each side of the equation. 18 + -18 + 4w = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = 16 + -18 4w = 16 + -18 Combine like terms: 16 + -18 = -2 4w = -2 Divide each side by '4'. w = -0.5 Simplifying w = -0.5
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