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Simplifying 3[2 + -1(2t + 5)] + -1 = 2(5 + -1t) Reorder the terms: 3[2 + -1(5 + 2t)] + -1 = 2(5 + -1t) 3[2 + (5 * -1 + 2t * -1)] + -1 = 2(5 + -1t) 3[2 + (-5 + -2t)] + -1 = 2(5 + -1t) Combine like terms: 2 + -5 = -3 3[-3 + -2t] + -1 = 2(5 + -1t) [-3 * 3 + -2t * 3] + -1 = 2(5 + -1t) [-9 + -6t] + -1 = 2(5 + -1t) Reorder the terms: -9 + -1 + -6t = 2(5 + -1t) Combine like terms: -9 + -1 = -10 -10 + -6t = 2(5 + -1t) -10 + -6t = (5 * 2 + -1t * 2) -10 + -6t = (10 + -2t) Solving -10 + -6t = 10 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -10 + -6t + 2t = 10 + -2t + 2t Combine like terms: -6t + 2t = -4t -10 + -4t = 10 + -2t + 2t Combine like terms: -2t + 2t = 0 -10 + -4t = 10 + 0 -10 + -4t = 10 Add '10' to each side of the equation. -10 + 10 + -4t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4t = 10 + 10 -4t = 10 + 10 Combine like terms: 10 + 10 = 20 -4t = 20 Divide each side by '-4'. t = -5 Simplifying t = -5
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