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Simplifying 13 = -7w + 5(w + 5) Reorder the terms: 13 = -7w + 5(5 + w) 13 = -7w + (5 * 5 + w * 5) 13 = -7w + (25 + 5w) Reorder the terms: 13 = 25 + -7w + 5w Combine like terms: -7w + 5w = -2w 13 = 25 + -2w Solving 13 = 25 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 13 + 2w = 25 + -2w + 2w Combine like terms: -2w + 2w = 0 13 + 2w = 25 + 0 13 + 2w = 25 Add '-13' to each side of the equation. 13 + -13 + 2w = 25 + -13 Combine like terms: 13 + -13 = 0 0 + 2w = 25 + -13 2w = 25 + -13 Combine like terms: 25 + -13 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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