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Simplifying 12t + -2(t + -1) = 6 + -6t Reorder the terms: 12t + -2(-1 + t) = 6 + -6t 12t + (-1 * -2 + t * -2) = 6 + -6t 12t + (2 + -2t) = 6 + -6t Reorder the terms: 2 + 12t + -2t = 6 + -6t Combine like terms: 12t + -2t = 10t 2 + 10t = 6 + -6t Solving 2 + 10t = 6 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 2 + 10t + 6t = 6 + -6t + 6t Combine like terms: 10t + 6t = 16t 2 + 16t = 6 + -6t + 6t Combine like terms: -6t + 6t = 0 2 + 16t = 6 + 0 2 + 16t = 6 Add '-2' to each side of the equation. 2 + -2 + 16t = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 16t = 6 + -2 16t = 6 + -2 Combine like terms: 6 + -2 = 4 16t = 4 Divide each side by '16'. t = 0.25 Simplifying t = 0.25
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