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Simplifying 9(2 + w + -4w) = 3w + -10 Combine like terms: w + -4w = -3w 9(2 + -3w) = 3w + -10 (2 * 9 + -3w * 9) = 3w + -10 (18 + -27w) = 3w + -10 Reorder the terms: 18 + -27w = -10 + 3w Solving 18 + -27w = -10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 18 + -27w + -3w = -10 + 3w + -3w Combine like terms: -27w + -3w = -30w 18 + -30w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + -30w = -10 + 0 18 + -30w = -10 Add '-18' to each side of the equation. 18 + -18 + -30w = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -30w = -10 + -18 -30w = -10 + -18 Combine like terms: -10 + -18 = -28 -30w = -28 Divide each side by '-30'. w = 0.9333333333 Simplifying w = 0.9333333333
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