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Simplifying 7(w + 1) = 24 Reorder the terms: 7(1 + w) = 24 (1 * 7 + w * 7) = 24 (7 + 7w) = 24 Solving 7 + 7w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7w = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 7w = 24 + -7 7w = 24 + -7 Combine like terms: 24 + -7 = 17 7w = 17 Divide each side by '7'. w = 2.428571429 Simplifying w = 2.428571429
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