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Simplifying 2(t + -1) + -3(3t + -5) = 3 + -7(4t + 1) Reorder the terms: 2(-1 + t) + -3(3t + -5) = 3 + -7(4t + 1) (-1 * 2 + t * 2) + -3(3t + -5) = 3 + -7(4t + 1) (-2 + 2t) + -3(3t + -5) = 3 + -7(4t + 1) Reorder the terms: -2 + 2t + -3(-5 + 3t) = 3 + -7(4t + 1) -2 + 2t + (-5 * -3 + 3t * -3) = 3 + -7(4t + 1) -2 + 2t + (15 + -9t) = 3 + -7(4t + 1) Reorder the terms: -2 + 15 + 2t + -9t = 3 + -7(4t + 1) Combine like terms: -2 + 15 = 13 13 + 2t + -9t = 3 + -7(4t + 1) Combine like terms: 2t + -9t = -7t 13 + -7t = 3 + -7(4t + 1) Reorder the terms: 13 + -7t = 3 + -7(1 + 4t) 13 + -7t = 3 + (1 * -7 + 4t * -7) 13 + -7t = 3 + (-7 + -28t) Combine like terms: 3 + -7 = -4 13 + -7t = -4 + -28t Solving 13 + -7t = -4 + -28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28t' to each side of the equation. 13 + -7t + 28t = -4 + -28t + 28t Combine like terms: -7t + 28t = 21t 13 + 21t = -4 + -28t + 28t Combine like terms: -28t + 28t = 0 13 + 21t = -4 + 0 13 + 21t = -4 Add '-13' to each side of the equation. 13 + -13 + 21t = -4 + -13 Combine like terms: 13 + -13 = 0 0 + 21t = -4 + -13 21t = -4 + -13 Combine like terms: -4 + -13 = -17 21t = -17 Divide each side by '21'. t = -0.8095238095 Simplifying t = -0.8095238095
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