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Simplifying 2(6t + -5) + 7 = 60 + -1t Reorder the terms: 2(-5 + 6t) + 7 = 60 + -1t (-5 * 2 + 6t * 2) + 7 = 60 + -1t (-10 + 12t) + 7 = 60 + -1t Reorder the terms: -10 + 7 + 12t = 60 + -1t Combine like terms: -10 + 7 = -3 -3 + 12t = 60 + -1t Solving -3 + 12t = 60 + -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. -3 + 12t + t = 60 + -1t + t Combine like terms: 12t + t = 13t -3 + 13t = 60 + -1t + t Combine like terms: -1t + t = 0 -3 + 13t = 60 + 0 -3 + 13t = 60 Add '3' to each side of the equation. -3 + 3 + 13t = 60 + 3 Combine like terms: -3 + 3 = 0 0 + 13t = 60 + 3 13t = 60 + 3 Combine like terms: 60 + 3 = 63 13t = 63 Divide each side by '13'. t = 4.846153846 Simplifying t = 4.846153846
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