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Simplifying (7 + -2) + -1(3t + 1) = -3(1 + -3t) Combine like terms: 7 + -2 = 5 (5) + -1(3t + 1) = -3(1 + -3t) 5 + -1(3t + 1) = -3(1 + -3t) Reorder the terms: 5 + -1(1 + 3t) = -3(1 + -3t) 5 + (1 * -1 + 3t * -1) = -3(1 + -3t) 5 + (-1 + -3t) = -3(1 + -3t) Combine like terms: 5 + -1 = 4 4 + -3t = -3(1 + -3t) 4 + -3t = (1 * -3 + -3t * -3) 4 + -3t = (-3 + 9t) Solving 4 + -3t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 4 + -3t + -9t = -3 + 9t + -9t Combine like terms: -3t + -9t = -12t 4 + -12t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 4 + -12t = -3 + 0 4 + -12t = -3 Add '-4' to each side of the equation. 4 + -4 + -12t = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -12t = -3 + -4 -12t = -3 + -4 Combine like terms: -3 + -4 = -7 -12t = -7 Divide each side by '-12'. t = 0.5833333333 Simplifying t = 0.5833333333
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