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Simplifying 2(3t + 2) = 12 + -1t Reorder the terms: 2(2 + 3t) = 12 + -1t (2 * 2 + 3t * 2) = 12 + -1t (4 + 6t) = 12 + -1t Solving 4 + 6t = 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. 4 + 6t + t = 12 + -1t + t Combine like terms: 6t + t = 7t 4 + 7t = 12 + -1t + t Combine like terms: -1t + t = 0 4 + 7t = 12 + 0 4 + 7t = 12 Add '-4' to each side of the equation. 4 + -4 + 7t = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 7t = 12 + -4 7t = 12 + -4 Combine like terms: 12 + -4 = 8 7t = 8 Divide each side by '7'. t = 1.142857143 Simplifying t = 1.142857143
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