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Simplifying 6(2t + -5) + 5 = 60 + -1t Reorder the terms: 6(-5 + 2t) + 5 = 60 + -1t (-5 * 6 + 2t * 6) + 5 = 60 + -1t (-30 + 12t) + 5 = 60 + -1t Reorder the terms: -30 + 5 + 12t = 60 + -1t Combine like terms: -30 + 5 = -25 -25 + 12t = 60 + -1t Solving -25 + 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. -25 + 12t + t = 60 + -1t + t Combine like terms: 12t + t = 13t -25 + 13t = 60 + -1t + t Combine like terms: -1t + t = 0 -25 + 13t = 60 + 0 -25 + 13t = 60 Add '25' to each side of the equation. -25 + 25 + 13t = 60 + 25 Combine like terms: -25 + 25 = 0 0 + 13t = 60 + 25 13t = 60 + 25 Combine like terms: 60 + 25 = 85 13t = 85 Divide each side by '13'. t = 6.538461538 Simplifying t = 6.538461538
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