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Simplifying 3t + -5(2 + -1t) + 20 = -1(2t + -15) 3t + (2 * -5 + -1t * -5) + 20 = -1(2t + -15) 3t + (-10 + 5t) + 20 = -1(2t + -15) Reorder the terms: -10 + 20 + 3t + 5t = -1(2t + -15) Combine like terms: -10 + 20 = 10 10 + 3t + 5t = -1(2t + -15) Combine like terms: 3t + 5t = 8t 10 + 8t = -1(2t + -15) Reorder the terms: 10 + 8t = -1(-15 + 2t) 10 + 8t = (-15 * -1 + 2t * -1) 10 + 8t = (15 + -2t) Solving 10 + 8t = 15 + -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 + 8t + 2t = 15 + -2t + 2t Combine like terms: 8t + 2t = 10t 10 + 10t = 15 + -2t + 2t Combine like terms: -2t + 2t = 0 10 + 10t = 15 + 0 10 + 10t = 15 Add '-10' to each side of the equation. 10 + -10 + 10t = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 10t = 15 + -10 10t = 15 + -10 Combine like terms: 15 + -10 = 5 10t = 5 Divide each side by '10'. t = 0.5 Simplifying t = 0.5
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