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Simplifying 26 = 5(w + 6) + -7w Reorder the terms: 26 = 5(6 + w) + -7w 26 = (6 * 5 + w * 5) + -7w 26 = (30 + 5w) + -7w Combine like terms: 5w + -7w = -2w 26 = 30 + -2w Solving 26 = 30 + -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. 26 + 2w = 30 + -2w + 2w Combine like terms: -2w + 2w = 0 26 + 2w = 30 + 0 26 + 2w = 30 Add '-26' to each side of the equation. 26 + -26 + 2w = 30 + -26 Combine like terms: 26 + -26 = 0 0 + 2w = 30 + -26 2w = 30 + -26 Combine like terms: 30 + -26 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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