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Simplifying 2(3t + -2) + -1t = 12 + -1t Reorder the terms: 2(-2 + 3t) + -1t = 12 + -1t (-2 * 2 + 3t * 2) + -1t = 12 + -1t (-4 + 6t) + -1t = 12 + -1t Combine like terms: 6t + -1t = 5t -4 + 5t = 12 + -1t Solving -4 + 5t = 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 + 5t + t = 12 + -1t + t Combine like terms: 5t + t = 6t -4 + 6t = 12 + -1t + t Combine like terms: -1t + t = 0 -4 + 6t = 12 + 0 -4 + 6t = 12 Add '4' to each side of the equation. -4 + 4 + 6t = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 6t = 12 + 4 6t = 12 + 4 Combine like terms: 12 + 4 = 16 6t = 16 Divide each side by '6'. t = 2.666666667 Simplifying t = 2.666666667
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