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Simplifying 7(2w + 1) = 8w + 25 Reorder the terms: 7(1 + 2w) = 8w + 25 (1 * 7 + 2w * 7) = 8w + 25 (7 + 14w) = 8w + 25 Reorder the terms: 7 + 14w = 25 + 8w Solving 7 + 14w = 25 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 7 + 14w + -8w = 25 + 8w + -8w Combine like terms: 14w + -8w = 6w 7 + 6w = 25 + 8w + -8w Combine like terms: 8w + -8w = 0 7 + 6w = 25 + 0 7 + 6w = 25 Add '-7' to each side of the equation. 7 + -7 + 6w = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 25 + -7 6w = 25 + -7 Combine like terms: 25 + -7 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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