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Simplifying 9w + 4(w + -2) = 3(w + 1) + -9 Reorder the terms: 9w + 4(-2 + w) = 3(w + 1) + -9 9w + (-2 * 4 + w * 4) = 3(w + 1) + -9 9w + (-8 + 4w) = 3(w + 1) + -9 Reorder the terms: -8 + 9w + 4w = 3(w + 1) + -9 Combine like terms: 9w + 4w = 13w -8 + 13w = 3(w + 1) + -9 Reorder the terms: -8 + 13w = 3(1 + w) + -9 -8 + 13w = (1 * 3 + w * 3) + -9 -8 + 13w = (3 + 3w) + -9 Reorder the terms: -8 + 13w = 3 + -9 + 3w Combine like terms: 3 + -9 = -6 -8 + 13w = -6 + 3w Solving -8 + 13w = -6 + 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. -8 + 13w + -3w = -6 + 3w + -3w Combine like terms: 13w + -3w = 10w -8 + 10w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 10w = -6 + 0 -8 + 10w = -6 Add '8' to each side of the equation. -8 + 8 + 10w = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = -6 + 8 10w = -6 + 8 Combine like terms: -6 + 8 = 2 10w = 2 Divide each side by '10'. w = 0.2 Simplifying w = 0.2
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