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Simplifying 45 + 1t = 1282 + -2t Solving 45 + 1t = 1282 + -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. 45 + 1t + 2t = 1282 + -2t + 2t Combine like terms: 1t + 2t = 3t 45 + 3t = 1282 + -2t + 2t Combine like terms: -2t + 2t = 0 45 + 3t = 1282 + 0 45 + 3t = 1282 Add '-45' to each side of the equation. 45 + -45 + 3t = 1282 + -45 Combine like terms: 45 + -45 = 0 0 + 3t = 1282 + -45 3t = 1282 + -45 Combine like terms: 1282 + -45 = 1237 3t = 1237 Divide each side by '3'. t = 412.3333333 Simplifying t = 412.3333333
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