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Simplifying 5(1 + -2t) = 12 + -1t (1 * 5 + -2t * 5) = 12 + -1t (5 + -10t) = 12 + -1t Solving 5 + -10t = 12 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 5 + -10t + t = 12 + -1t + t Combine like terms: -10t + t = -9t 5 + -9t = 12 + -1t + t Combine like terms: -1t + t = 0 5 + -9t = 12 + 0 5 + -9t = 12 Add '-5' to each side of the equation. 5 + -5 + -9t = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -9t = 12 + -5 -9t = 12 + -5 Combine like terms: 12 + -5 = 7 -9t = 7 Divide each side by '-9'. t = -0.7777777778 Simplifying t = -0.7777777778
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