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Simplifying 2(6t + -2) + t = 42 + -1t Reorder the terms: 2(-2 + 6t) + t = 42 + -1t (-2 * 2 + 6t * 2) + t = 42 + -1t (-4 + 12t) + t = 42 + -1t Combine like terms: 12t + t = 13t -4 + 13t = 42 + -1t Solving -4 + 13t = 42 + -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 + 13t + t = 42 + -1t + t Combine like terms: 13t + t = 14t -4 + 14t = 42 + -1t + t Combine like terms: -1t + t = 0 -4 + 14t = 42 + 0 -4 + 14t = 42 Add '4' to each side of the equation. -4 + 4 + 14t = 42 + 4 Combine like terms: -4 + 4 = 0 0 + 14t = 42 + 4 14t = 42 + 4 Combine like terms: 42 + 4 = 46 14t = 46 Divide each side by '14'. t = 3.285714286 Simplifying t = 3.285714286
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