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Simplifying (7t + -2) + -1(-3t + 1) = -3(13t) Reorder the terms: (-2 + 7t) + -1(-3t + 1) = -3(13t) Remove parenthesis around (-2 + 7t) -2 + 7t + -1(-3t + 1) = -3(13t) Reorder the terms: -2 + 7t + -1(1 + -3t) = -3(13t) -2 + 7t + (1 * -1 + -3t * -1) = -3(13t) -2 + 7t + (-1 + 3t) = -3(13t) Reorder the terms: -2 + -1 + 7t + 3t = -3(13t) Combine like terms: -2 + -1 = -3 -3 + 7t + 3t = -3(13t) Combine like terms: 7t + 3t = 10t -3 + 10t = -3(13t) Remove parenthesis around (13t) -3 + 10t = -3 * 13t Multiply -3 * 13 -3 + 10t = -39t Solving -3 + 10t = -39t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '39t' to each side of the equation. -3 + 10t + 39t = -39t + 39t Combine like terms: 10t + 39t = 49t -3 + 49t = -39t + 39t Combine like terms: -39t + 39t = 0 -3 + 49t = 0 Add '3' to each side of the equation. -3 + 3 + 49t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 49t = 0 + 3 49t = 0 + 3 Combine like terms: 0 + 3 = 3 49t = 3 Divide each side by '49'. t = 0.0612244898 Simplifying t = 0.0612244898
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