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Simplifying -9(w + -2) + -1(4w + -3) = -14w Reorder the terms: -9(-2 + w) + -1(4w + -3) = -14w (-2 * -9 + w * -9) + -1(4w + -3) = -14w (18 + -9w) + -1(4w + -3) = -14w Reorder the terms: 18 + -9w + -1(-3 + 4w) = -14w 18 + -9w + (-3 * -1 + 4w * -1) = -14w 18 + -9w + (3 + -4w) = -14w Reorder the terms: 18 + 3 + -9w + -4w = -14w Combine like terms: 18 + 3 = 21 21 + -9w + -4w = -14w Combine like terms: -9w + -4w = -13w 21 + -13w = -14w Solving 21 + -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. 21 + -13w + 14w = -14w + 14w Combine like terms: -13w + 14w = 1w 21 + 1w = -14w + 14w Combine like terms: -14w + 14w = 0 21 + 1w = 0 Add '-21' to each side of the equation. 21 + -21 + 1w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1w = 0 + -21 1w = 0 + -21 Combine like terms: 0 + -21 = -21 1w = -21 Divide each side by '1'. w = -21 Simplifying w = -21
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