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Simplifying 5(w + 5) + -7w = 31 Reorder the terms: 5(5 + w) + -7w = 31 (5 * 5 + w * 5) + -7w = 31 (25 + 5w) + -7w = 31 Combine like terms: 5w + -7w = -2w 25 + -2w = 31 Solving 25 + -2w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2w = 31 + -25 Combine like terms: 25 + -25 = 0 0 + -2w = 31 + -25 -2w = 31 + -25 Combine like terms: 31 + -25 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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