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Simplifying 4(w + -2) = -9w + -34 Reorder the terms: 4(-2 + w) = -9w + -34 (-2 * 4 + w * 4) = -9w + -34 (-8 + 4w) = -9w + -34 Reorder the terms: -8 + 4w = -34 + -9w Solving -8 + 4w = -34 + -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. -8 + 4w + 9w = -34 + -9w + 9w Combine like terms: 4w + 9w = 13w -8 + 13w = -34 + -9w + 9w Combine like terms: -9w + 9w = 0 -8 + 13w = -34 + 0 -8 + 13w = -34 Add '8' to each side of the equation. -8 + 8 + 13w = -34 + 8 Combine like terms: -8 + 8 = 0 0 + 13w = -34 + 8 13w = -34 + 8 Combine like terms: -34 + 8 = -26 13w = -26 Divide each side by '13'. w = -2 Simplifying w = -2
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