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Simplifying 10(b + 5) + -5b = 560 Reorder the terms: 10(5 + b) + -5b = 560 (5 * 10 + b * 10) + -5b = 560 (50 + 10b) + -5b = 560 Combine like terms: 10b + -5b = 5b 50 + 5b = 560 Solving 50 + 5b = 560 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 5b = 560 + -50 Combine like terms: 50 + -50 = 0 0 + 5b = 560 + -50 5b = 560 + -50 Combine like terms: 560 + -50 = 510 5b = 510 Divide each side by '5'. b = 102 Simplifying b = 102
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