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Simplifying (7t + -2) + -1(-3t + 1) = -3(1 + -2t) Reorder the terms: (-2 + 7t) + -1(-3t + 1) = -3(1 + -2t) Remove parenthesis around (-2 + 7t) -2 + 7t + -1(-3t + 1) = -3(1 + -2t) Reorder the terms: -2 + 7t + -1(1 + -3t) = -3(1 + -2t) -2 + 7t + (1 * -1 + -3t * -1) = -3(1 + -2t) -2 + 7t + (-1 + 3t) = -3(1 + -2t) Reorder the terms: -2 + -1 + 7t + 3t = -3(1 + -2t) Combine like terms: -2 + -1 = -3 -3 + 7t + 3t = -3(1 + -2t) Combine like terms: 7t + 3t = 10t -3 + 10t = -3(1 + -2t) -3 + 10t = (1 * -3 + -2t * -3) -3 + 10t = (-3 + 6t) Add '3' to each side of the equation. -3 + 3 + 10t = -3 + 3 + 6t Combine like terms: -3 + 3 = 0 0 + 10t = -3 + 3 + 6t 10t = -3 + 3 + 6t Combine like terms: -3 + 3 = 0 10t = 0 + 6t 10t = 6t Solving 10t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 10t + -6t = 6t + -6t Combine like terms: 10t + -6t = 4t 4t = 6t + -6t Combine like terms: 6t + -6t = 0 4t = 0 Divide each side by '4'. t = 0 Simplifying t = 0
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