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Simplifying 9(w + -5) = -4w + -19 Reorder the terms: 9(-5 + w) = -4w + -19 (-5 * 9 + w * 9) = -4w + -19 (-45 + 9w) = -4w + -19 Reorder the terms: -45 + 9w = -19 + -4w Solving -45 + 9w = -19 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -45 + 9w + 4w = -19 + -4w + 4w Combine like terms: 9w + 4w = 13w -45 + 13w = -19 + -4w + 4w Combine like terms: -4w + 4w = 0 -45 + 13w = -19 + 0 -45 + 13w = -19 Add '45' to each side of the equation. -45 + 45 + 13w = -19 + 45 Combine like terms: -45 + 45 = 0 0 + 13w = -19 + 45 13w = -19 + 45 Combine like terms: -19 + 45 = 26 13w = 26 Divide each side by '13'. w = 2 Simplifying w = 2
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