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Simplifying -4w + 2 = 5(w + 4) Reorder the terms: 2 + -4w = 5(w + 4) Reorder the terms: 2 + -4w = 5(4 + w) 2 + -4w = (4 * 5 + w * 5) 2 + -4w = (20 + 5w) Solving 2 + -4w = 20 + 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. 2 + -4w + -5w = 20 + 5w + -5w Combine like terms: -4w + -5w = -9w 2 + -9w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -9w = 20 + 0 2 + -9w = 20 Add '-2' to each side of the equation. 2 + -2 + -9w = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -9w = 20 + -2 -9w = 20 + -2 Combine like terms: 20 + -2 = 18 -9w = 18 Divide each side by '-9'. w = -2 Simplifying w = -2
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