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Simplifying 4[w + -2] + 5w = 37 Reorder the terms: 4[-2 + w] + 5w = 37 [-2 * 4 + w * 4] + 5w = 37 [-8 + 4w] + 5w = 37 Combine like terms: 4w + 5w = 9w -8 + 9w = 37 Solving -8 + 9w = 37 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9w = 37 + 8 Combine like terms: -8 + 8 = 0 0 + 9w = 37 + 8 9w = 37 + 8 Combine like terms: 37 + 8 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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