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Simplifying 12t + -2(t + -1) = 6 + -4t Reorder the terms: 12t + -2(-1 + t) = 6 + -4t 12t + (-1 * -2 + t * -2) = 6 + -4t 12t + (2 + -2t) = 6 + -4t Reorder the terms: 2 + 12t + -2t = 6 + -4t Combine like terms: 12t + -2t = 10t 2 + 10t = 6 + -4t Solving 2 + 10t = 6 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 2 + 10t + 4t = 6 + -4t + 4t Combine like terms: 10t + 4t = 14t 2 + 14t = 6 + -4t + 4t Combine like terms: -4t + 4t = 0 2 + 14t = 6 + 0 2 + 14t = 6 Add '-2' to each side of the equation. 2 + -2 + 14t = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 14t = 6 + -2 14t = 6 + -2 Combine like terms: 6 + -2 = 4 14t = 4 Divide each side by '14'. t = 0.2857142857 Simplifying t = 0.2857142857
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