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Simplifying 1 = 2 + -2[2t + -3(1 + -1t)] 1 = 2 + -2[2t + (1 * -3 + -1t * -3)] 1 = 2 + -2[2t + (-3 + 3t)] Reorder the terms: 1 = 2 + -2[-3 + 2t + 3t] Combine like terms: 2t + 3t = 5t 1 = 2 + -2[-3 + 5t] 1 = 2 + [-3 * -2 + 5t * -2] 1 = 2 + [6 + -10t] Combine like terms: 2 + 6 = 8 1 = 8 + -10t Solving 1 = 8 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 1 + 10t = 8 + -10t + 10t Combine like terms: -10t + 10t = 0 1 + 10t = 8 + 0 1 + 10t = 8 Add '-1' to each side of the equation. 1 + -1 + 10t = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 10t = 8 + -1 10t = 8 + -1 Combine like terms: 8 + -1 = 7 10t = 7 Divide each side by '10'. t = 0.7 Simplifying t = 0.7
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