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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 = 16 7t = 16 Divide each side by '7'. t = 2.285714286 Simplifying t = 2.285714286
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