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Simplifying 3(20 + -12t) = 1.1428571(14 + 21t) + -12t (20 * 3 + -12t * 3) = 1.1428571(14 + 21t) + -12t (60 + -36t) = 1.1428571(14 + 21t) + -12t 60 + -36t = (14 * 1.1428571 + 21t * 1.1428571) + -12t 60 + -36t = (15.9999994 + 23.9999991t) + -12t Combine like terms: 23.9999991t + -12t = 11.9999991t 60 + -36t = 15.9999994 + 11.9999991t Solving 60 + -36t = 15.9999994 + 11.9999991t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11.9999991t' to each side of the equation. 60 + -36t + -11.9999991t = 15.9999994 + 11.9999991t + -11.9999991t Combine like terms: -36t + -11.9999991t = -47.9999991t 60 + -47.9999991t = 15.9999994 + 11.9999991t + -11.9999991t Combine like terms: 11.9999991t + -11.9999991t = 0.0000000 60 + -47.9999991t = 15.9999994 + 0.0000000 60 + -47.9999991t = 15.9999994 Add '-60' to each side of the equation. 60 + -60 + -47.9999991t = 15.9999994 + -60 Combine like terms: 60 + -60 = 0 0 + -47.9999991t = 15.9999994 + -60 -47.9999991t = 15.9999994 + -60 Combine like terms: 15.9999994 + -60 = -44.0000006 -47.9999991t = -44.0000006 Divide each side by '-47.9999991'. t = 0.9166666964 Simplifying t = 0.9166666964
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