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Simplifying -4(w + 4) = 5w + 2 Reorder the terms: -4(4 + w) = 5w + 2 (4 * -4 + w * -4) = 5w + 2 (-16 + -4w) = 5w + 2 Reorder the terms: -16 + -4w = 2 + 5w Solving -16 + -4w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -16 + -4w + -5w = 2 + 5w + -5w Combine like terms: -4w + -5w = -9w -16 + -9w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 -16 + -9w = 2 + 0 -16 + -9w = 2 Add '16' to each side of the equation. -16 + 16 + -9w = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -9w = 2 + 16 -9w = 2 + 16 Combine like terms: 2 + 16 = 18 -9w = 18 Divide each side by '-9'. w = -2 Simplifying w = -2
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