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Simplifying 4t + -1(2t + -5) = 3 + -4(2t + 3) Reorder the terms: 4t + -1(-5 + 2t) = 3 + -4(2t + 3) 4t + (-5 * -1 + 2t * -1) = 3 + -4(2t + 3) 4t + (5 + -2t) = 3 + -4(2t + 3) Reorder the terms: 5 + 4t + -2t = 3 + -4(2t + 3) Combine like terms: 4t + -2t = 2t 5 + 2t = 3 + -4(2t + 3) Reorder the terms: 5 + 2t = 3 + -4(3 + 2t) 5 + 2t = 3 + (3 * -4 + 2t * -4) 5 + 2t = 3 + (-12 + -8t) Combine like terms: 3 + -12 = -9 5 + 2t = -9 + -8t Solving 5 + 2t = -9 + -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. 5 + 2t + 8t = -9 + -8t + 8t Combine like terms: 2t + 8t = 10t 5 + 10t = -9 + -8t + 8t Combine like terms: -8t + 8t = 0 5 + 10t = -9 + 0 5 + 10t = -9 Add '-5' to each side of the equation. 5 + -5 + 10t = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 10t = -9 + -5 10t = -9 + -5 Combine like terms: -9 + -5 = -14 10t = -14 Divide each side by '10'. t = -1.4 Simplifying t = -1.4
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