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Simplifying -4(w + 4) = -9w + 14 Reorder the terms: -4(4 + w) = -9w + 14 (4 * -4 + w * -4) = -9w + 14 (-16 + -4w) = -9w + 14 Reorder the terms: -16 + -4w = 14 + -9w Solving -16 + -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. -16 + -4w + 9w = 14 + -9w + 9w Combine like terms: -4w + 9w = 5w -16 + 5w = 14 + -9w + 9w Combine like terms: -9w + 9w = 0 -16 + 5w = 14 + 0 -16 + 5w = 14 Add '16' to each side of the equation. -16 + 16 + 5w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 5w = 14 + 16 5w = 14 + 16 Combine like terms: 14 + 16 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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