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Simplifying -37 = 5w + 4(w + 2) Reorder the terms: -37 = 5w + 4(2 + w) -37 = 5w + (2 * 4 + w * 4) -37 = 5w + (8 + 4w) Reorder the terms: -37 = 8 + 5w + 4w Combine like terms: 5w + 4w = 9w -37 = 8 + 9w Solving -37 = 8 + 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. -37 + -9w = 8 + 9w + -9w Combine like terms: 9w + -9w = 0 -37 + -9w = 8 + 0 -37 + -9w = 8 Add '37' to each side of the equation. -37 + 37 + -9w = 8 + 37 Combine like terms: -37 + 37 = 0 0 + -9w = 8 + 37 -9w = 8 + 37 Combine like terms: 8 + 37 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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