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Simplifying 60t + 82(t + -2) = 206 + -15 Reorder the terms: 60t + 82(-2 + t) = 206 + -15 60t + (-2 * 82 + t * 82) = 206 + -15 60t + (-164 + 82t) = 206 + -15 Reorder the terms: -164 + 60t + 82t = 206 + -15 Combine like terms: 60t + 82t = 142t -164 + 142t = 206 + -15 Combine like terms: 206 + -15 = 191 -164 + 142t = 191 Solving -164 + 142t = 191 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '164' to each side of the equation. -164 + 164 + 142t = 191 + 164 Combine like terms: -164 + 164 = 0 0 + 142t = 191 + 164 142t = 191 + 164 Combine like terms: 191 + 164 = 355 142t = 355 Divide each side by '142'. t = 2.5 Simplifying t = 2.5
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