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Simplifying (7t + 2) + -1(-3t + 1) = -3(1 + -3t) Reorder the terms: (2 + 7t) + -1(-3t + 1) = -3(1 + -3t) Remove parenthesis around (2 + 7t) 2 + 7t + -1(-3t + 1) = -3(1 + -3t) Reorder the terms: 2 + 7t + -1(1 + -3t) = -3(1 + -3t) 2 + 7t + (1 * -1 + -3t * -1) = -3(1 + -3t) 2 + 7t + (-1 + 3t) = -3(1 + -3t) Reorder the terms: 2 + -1 + 7t + 3t = -3(1 + -3t) Combine like terms: 2 + -1 = 1 1 + 7t + 3t = -3(1 + -3t) Combine like terms: 7t + 3t = 10t 1 + 10t = -3(1 + -3t) 1 + 10t = (1 * -3 + -3t * -3) 1 + 10t = (-3 + 9t) Solving 1 + 10t = -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. 1 + 10t + -9t = -3 + 9t + -9t Combine like terms: 10t + -9t = 1t 1 + 1t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 1 + 1t = -3 + 0 1 + 1t = -3 Add '-1' to each side of the equation. 1 + -1 + 1t = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = -3 + -1 1t = -3 + -1 Combine like terms: -3 + -1 = -4 1t = -4 Divide each side by '1'. t = -4 Simplifying t = -4
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