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Simplifying 3(t + -1) + -5(2t + -1) = 4 + -7(3t + 1) Reorder the terms: 3(-1 + t) + -5(2t + -1) = 4 + -7(3t + 1) (-1 * 3 + t * 3) + -5(2t + -1) = 4 + -7(3t + 1) (-3 + 3t) + -5(2t + -1) = 4 + -7(3t + 1) Reorder the terms: -3 + 3t + -5(-1 + 2t) = 4 + -7(3t + 1) -3 + 3t + (-1 * -5 + 2t * -5) = 4 + -7(3t + 1) -3 + 3t + (5 + -10t) = 4 + -7(3t + 1) Reorder the terms: -3 + 5 + 3t + -10t = 4 + -7(3t + 1) Combine like terms: -3 + 5 = 2 2 + 3t + -10t = 4 + -7(3t + 1) Combine like terms: 3t + -10t = -7t 2 + -7t = 4 + -7(3t + 1) Reorder the terms: 2 + -7t = 4 + -7(1 + 3t) 2 + -7t = 4 + (1 * -7 + 3t * -7) 2 + -7t = 4 + (-7 + -21t) Combine like terms: 4 + -7 = -3 2 + -7t = -3 + -21t Solving 2 + -7t = -3 + -21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21t' to each side of the equation. 2 + -7t + 21t = -3 + -21t + 21t Combine like terms: -7t + 21t = 14t 2 + 14t = -3 + -21t + 21t Combine like terms: -21t + 21t = 0 2 + 14t = -3 + 0 2 + 14t = -3 Add '-2' to each side of the equation. 2 + -2 + 14t = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 14t = -3 + -2 14t = -3 + -2 Combine like terms: -3 + -2 = -5 14t = -5 Divide each side by '14'. t = -0.3571428571 Simplifying t = -0.3571428571
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