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Simplifying -4(w + 2) + -1(9w + -9) = -14w Reorder the terms: -4(2 + w) + -1(9w + -9) = -14w (2 * -4 + w * -4) + -1(9w + -9) = -14w (-8 + -4w) + -1(9w + -9) = -14w Reorder the terms: -8 + -4w + -1(-9 + 9w) = -14w -8 + -4w + (-9 * -1 + 9w * -1) = -14w -8 + -4w + (9 + -9w) = -14w Reorder the terms: -8 + 9 + -4w + -9w = -14w Combine like terms: -8 + 9 = 1 1 + -4w + -9w = -14w Combine like terms: -4w + -9w = -13w 1 + -13w = -14w Solving 1 + -13w = -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 1 + -13w + 14w = -14w + 14w Combine like terms: -13w + 14w = 1w 1 + 1w = -14w + 14w Combine like terms: -14w + 14w = 0 1 + 1w = 0 Add '-1' to each side of the equation. 1 + -1 + 1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 0 + -1 1w = 0 + -1 Combine like terms: 0 + -1 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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