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Simplifying 10t + 12(t + 500) = 126 Reorder the terms: 10t + 12(500 + t) = 126 10t + (500 * 12 + t * 12) = 126 10t + (6000 + 12t) = 126 Reorder the terms: 6000 + 10t + 12t = 126 Combine like terms: 10t + 12t = 22t 6000 + 22t = 126 Solving 6000 + 22t = 126 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6000' to each side of the equation. 6000 + -6000 + 22t = 126 + -6000 Combine like terms: 6000 + -6000 = 0 0 + 22t = 126 + -6000 22t = 126 + -6000 Combine like terms: 126 + -6000 = -5874 22t = -5874 Divide each side by '22'. t = -267 Simplifying t = -267
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