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Simplifying 3(3t + -2) + t = 12 + -1t Reorder the terms: 3(-2 + 3t) + t = 12 + -1t (-2 * 3 + 3t * 3) + t = 12 + -1t (-6 + 9t) + t = 12 + -1t Combine like terms: 9t + t = 10t -6 + 10t = 12 + -1t Solving -6 + 10t = 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. -6 + 10t + t = 12 + -1t + t Combine like terms: 10t + t = 11t -6 + 11t = 12 + -1t + t Combine like terms: -1t + t = 0 -6 + 11t = 12 + 0 -6 + 11t = 12 Add '6' to each side of the equation. -6 + 6 + 11t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 11t = 12 + 6 11t = 12 + 6 Combine like terms: 12 + 6 = 18 11t = 18 Divide each side by '11'. t = 1.636363636 Simplifying t = 1.636363636
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