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Simplifying 4(w + -9) = 9w + 14 Reorder the terms: 4(-9 + w) = 9w + 14 (-9 * 4 + w * 4) = 9w + 14 (-36 + 4w) = 9w + 14 Reorder the terms: -36 + 4w = 14 + 9w Solving -36 + 4w = 14 + 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. -36 + 4w + -9w = 14 + 9w + -9w Combine like terms: 4w + -9w = -5w -36 + -5w = 14 + 9w + -9w Combine like terms: 9w + -9w = 0 -36 + -5w = 14 + 0 -36 + -5w = 14 Add '36' to each side of the equation. -36 + 36 + -5w = 14 + 36 Combine like terms: -36 + 36 = 0 0 + -5w = 14 + 36 -5w = 14 + 36 Combine like terms: 14 + 36 = 50 -5w = 50 Divide each side by '-5'. w = -10 Simplifying w = -10
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