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