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Simplifying 4[2 + -3(t + -1)] = 8t Reorder the terms: 4[2 + -3(-1 + t)] = 8t 4[2 + (-1 * -3 + t * -3)] = 8t 4[2 + (3 + -3t)] = 8t Combine like terms: 2 + 3 = 5 4[5 + -3t] = 8t [5 * 4 + -3t * 4] = 8t [20 + -12t] = 8t Solving 20 + -12t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 20 + -12t + -8t = 8t + -8t Combine like terms: -12t + -8t = -20t 20 + -20t = 8t + -8t Combine like terms: 8t + -8t = 0 20 + -20t = 0 Add '-20' to each side of the equation. 20 + -20 + -20t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -20t = 0 + -20 -20t = 0 + -20 Combine like terms: 0 + -20 = -20 -20t = -20 Divide each side by '-20'. t = 1 Simplifying t = 1
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