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Simplifying 0.10 + 0.12(t + -1000) = 560 Reorder the terms: 0.10 + 0.12(-1000 + t) = 560 0.10 + (-1000 * 0.12 + t * 0.12) = 560 0.10 + (-120 + 0.12t) = 560 Combine like terms: 0.10 + -120 = -119.9 -119.9 + 0.12t = 560 Solving -119.9 + 0.12t = 560 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '119.9' to each side of the equation. -119.9 + 119.9 + 0.12t = 560 + 119.9 Combine like terms: -119.9 + 119.9 = 0.0 0.0 + 0.12t = 560 + 119.9 0.12t = 560 + 119.9 Combine like terms: 560 + 119.9 = 679.9 0.12t = 679.9 Divide each side by '0.12'. t = 5665.833333 Simplifying t = 5665.833333
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