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Simplifying 4(w + -3) = -9w + -38 Reorder the terms: 4(-3 + w) = -9w + -38 (-3 * 4 + w * 4) = -9w + -38 (-12 + 4w) = -9w + -38 Reorder the terms: -12 + 4w = -38 + -9w Solving -12 + 4w = -38 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -12 + 4w + 9w = -38 + -9w + 9w Combine like terms: 4w + 9w = 13w -12 + 13w = -38 + -9w + 9w Combine like terms: -9w + 9w = 0 -12 + 13w = -38 + 0 -12 + 13w = -38 Add '12' to each side of the equation. -12 + 12 + 13w = -38 + 12 Combine like terms: -12 + 12 = 0 0 + 13w = -38 + 12 13w = -38 + 12 Combine like terms: -38 + 12 = -26 13w = -26 Divide each side by '13'. w = -2 Simplifying w = -2
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