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Simplifying 5(w + 4) = -4w + 47 Reorder the terms: 5(4 + w) = -4w + 47 (4 * 5 + w * 5) = -4w + 47 (20 + 5w) = -4w + 47 Reorder the terms: 20 + 5w = 47 + -4w Solving 20 + 5w = 47 + -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. 20 + 5w + 4w = 47 + -4w + 4w Combine like terms: 5w + 4w = 9w 20 + 9w = 47 + -4w + 4w Combine like terms: -4w + 4w = 0 20 + 9w = 47 + 0 20 + 9w = 47 Add '-20' to each side of the equation. 20 + -20 + 9w = 47 + -20 Combine like terms: 20 + -20 = 0 0 + 9w = 47 + -20 9w = 47 + -20 Combine like terms: 47 + -20 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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