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Simplifying 2(3t + -2) + t = 12 + -1 Reorder the terms: 2(-2 + 3t) + t = 12 + -1 (-2 * 2 + 3t * 2) + t = 12 + -1 (-4 + 6t) + t = 12 + -1 Combine like terms: 6t + t = 7t -4 + 7t = 12 + -1 Combine like terms: 12 + -1 = 11 -4 + 7t = 11 Solving -4 + 7t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7t = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 7t = 11 + 4 7t = 11 + 4 Combine like terms: 11 + 4 = 15 7t = 15 Divide each side by '7'. t = 2.142857143 Simplifying t = 2.142857143
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