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Simplifying -4(w + 8) + -1(2 + 9w) = -14w Reorder the terms: -4(8 + w) + -1(2 + 9w) = -14w (8 * -4 + w * -4) + -1(2 + 9w) = -14w (-32 + -4w) + -1(2 + 9w) = -14w -32 + -4w + (2 * -1 + 9w * -1) = -14w -32 + -4w + (-2 + -9w) = -14w Reorder the terms: -32 + -2 + -4w + -9w = -14w Combine like terms: -32 + -2 = -34 -34 + -4w + -9w = -14w Combine like terms: -4w + -9w = -13w -34 + -13w = -14w Solving -34 + -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. -34 + -13w + 14w = -14w + 14w Combine like terms: -13w + 14w = 1w -34 + 1w = -14w + 14w Combine like terms: -14w + 14w = 0 -34 + 1w = 0 Add '34' to each side of the equation. -34 + 34 + 1w = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1w = 0 + 34 1w = 0 + 34 Combine like terms: 0 + 34 = 34 1w = 34 Divide each side by '1'. w = 34 Simplifying w = 34
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