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Simplifying 5(w + 2) + 1 = 61 Reorder the terms: 5(2 + w) + 1 = 61 (2 * 5 + w * 5) + 1 = 61 (10 + 5w) + 1 = 61 Reorder the terms: 10 + 1 + 5w = 61 Combine like terms: 10 + 1 = 11 11 + 5w = 61 Solving 11 + 5w = 61 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5w = 61 + -11 Combine like terms: 11 + -11 = 0 0 + 5w = 61 + -11 5w = 61 + -11 Combine like terms: 61 + -11 = 50 5w = 50 Divide each side by '5'. w = 10 Simplifying w = 10
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