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Simplifying -37 = 5(w + 7) + 4w Reorder the terms: -37 = 5(7 + w) + 4w -37 = (7 * 5 + w * 5) + 4w -37 = (35 + 5w) + 4w Combine like terms: 5w + 4w = 9w -37 = 35 + 9w Solving -37 = 35 + 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 = 35 + 9w + -9w Combine like terms: 9w + -9w = 0 -37 + -9w = 35 + 0 -37 + -9w = 35 Add '37' to each side of the equation. -37 + 37 + -9w = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -9w = 35 + 37 -9w = 35 + 37 Combine like terms: 35 + 37 = 72 -9w = 72 Divide each side by '-9'. w = -8 Simplifying w = -8
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