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Simplifying 5t + (t + -3) + -1[(7t + 5) + -1(8 + -3t)] = 0 Reorder the terms: 5t + (-3 + t) + -1[(7t + 5) + -1(8 + -3t)] = 0 Remove parenthesis around (-3 + t) 5t + -3 + t + -1[(7t + 5) + -1(8 + -3t)] = 0 Reorder the terms: 5t + -3 + t + -1[(5 + 7t) + -1(8 + -3t)] = 0 Remove parenthesis around (5 + 7t) 5t + -3 + t + -1[5 + 7t + -1(8 + -3t)] = 0 5t + -3 + t + -1[5 + 7t + (8 * -1 + -3t * -1)] = 0 5t + -3 + t + -1[5 + 7t + (-8 + 3t)] = 0 Reorder the terms: 5t + -3 + t + -1[5 + -8 + 7t + 3t] = 0 Combine like terms: 5 + -8 = -3 5t + -3 + t + -1[-3 + 7t + 3t] = 0 Combine like terms: 7t + 3t = 10t 5t + -3 + t + -1[-3 + 10t] = 0 5t + -3 + t + [-3 * -1 + 10t * -1] = 0 5t + -3 + t + [3 + -10t] = 0 Reorder the terms: -3 + 3 + 5t + t + -10t = 0 Combine like terms: -3 + 3 = 0 0 + 5t + t + -10t = 0 5t + t + -10t = 0 Combine like terms: 5t + t = 6t 6t + -10t = 0 Combine like terms: 6t + -10t = -4t -4t = 0 Solving -4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '-4'. t = 0 Simplifying t = 0
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