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Simplifying 37 = -2w + 5(w + 2) Reorder the terms: 37 = -2w + 5(2 + w) 37 = -2w + (2 * 5 + w * 5) 37 = -2w + (10 + 5w) Reorder the terms: 37 = 10 + -2w + 5w Combine like terms: -2w + 5w = 3w 37 = 10 + 3w Solving 37 = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 37 + -3w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 37 + -3w = 10 + 0 37 + -3w = 10 Add '-37' to each side of the equation. 37 + -37 + -3w = 10 + -37 Combine like terms: 37 + -37 = 0 0 + -3w = 10 + -37 -3w = 10 + -37 Combine like terms: 10 + -37 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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