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Simplifying 2(6t + -1) + t = 12 + -1t Reorder the terms: 2(-1 + 6t) + t = 12 + -1t (-1 * 2 + 6t * 2) + t = 12 + -1t (-2 + 12t) + t = 12 + -1t Combine like terms: 12t + t = 13t -2 + 13t = 12 + -1t Solving -2 + 13t = 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. -2 + 13t + t = 12 + -1t + t Combine like terms: 13t + t = 14t -2 + 14t = 12 + -1t + t Combine like terms: -1t + t = 0 -2 + 14t = 12 + 0 -2 + 14t = 12 Add '2' to each side of the equation. -2 + 2 + 14t = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14t = 12 + 2 14t = 12 + 2 Combine like terms: 12 + 2 = 14 14t = 14 Divide each side by '14'. t = 1 Simplifying t = 1
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