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Simplifying 0.10t + 0.12(t + 100) = 560 Reorder the terms: 0.10t + 0.12(100 + t) = 560 0.10t + (100 * 0.12 + t * 0.12) = 560 0.10t + (12 + 0.12t) = 560 Reorder the terms: 12 + 0.10t + 0.12t = 560 Combine like terms: 0.10t + 0.12t = 0.22t 12 + 0.22t = 560 Solving 12 + 0.22t = 560 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.22t = 560 + -12 Combine like terms: 12 + -12 = 0 0 + 0.22t = 560 + -12 0.22t = 560 + -12 Combine like terms: 560 + -12 = 548 0.22t = 548 Divide each side by '0.22'. t = 2490.909091 Simplifying t = 2490.909091
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