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Simplifying 5[3t + -1(2 + -1t)] = 3(2t + -1) 5[3t + (2 * -1 + -1t * -1)] = 3(2t + -1) 5[3t + (-2 + 1t)] = 3(2t + -1) Reorder the terms: 5[-2 + 3t + 1t] = 3(2t + -1) Combine like terms: 3t + 1t = 4t 5[-2 + 4t] = 3(2t + -1) [-2 * 5 + 4t * 5] = 3(2t + -1) [-10 + 20t] = 3(2t + -1) Reorder the terms: -10 + 20t = 3(-1 + 2t) -10 + 20t = (-1 * 3 + 2t * 3) -10 + 20t = (-3 + 6t) Solving -10 + 20t = -3 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -10 + 20t + -6t = -3 + 6t + -6t Combine like terms: 20t + -6t = 14t -10 + 14t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 -10 + 14t = -3 + 0 -10 + 14t = -3 Add '10' to each side of the equation. -10 + 10 + 14t = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 14t = -3 + 10 14t = -3 + 10 Combine like terms: -3 + 10 = 7 14t = 7 Divide each side by '14'. t = 0.5 Simplifying t = 0.5
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