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Simplifying 65t + 58(t + 1) = 369 Reorder the terms: 65t + 58(1 + t) = 369 65t + (1 * 58 + t * 58) = 369 65t + (58 + 58t) = 369 Reorder the terms: 58 + 65t + 58t = 369 Combine like terms: 65t + 58t = 123t 58 + 123t = 369 Solving 58 + 123t = 369 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 123t = 369 + -58 Combine like terms: 58 + -58 = 0 0 + 123t = 369 + -58 123t = 369 + -58 Combine like terms: 369 + -58 = 311 123t = 311 Divide each side by '123'. t = 2.528455285 Simplifying t = 2.528455285
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