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Simplifying 9(w + -4) = 4w + 14 Reorder the terms: 9(-4 + w) = 4w + 14 (-4 * 9 + w * 9) = 4w + 14 (-36 + 9w) = 4w + 14 Reorder the terms: -36 + 9w = 14 + 4w Solving -36 + 9w = 14 + 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. -36 + 9w + -4w = 14 + 4w + -4w Combine like terms: 9w + -4w = 5w -36 + 5w = 14 + 4w + -4w Combine like terms: 4w + -4w = 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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