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Simplifying 6(2t + -5) + 5 = 60 + -2 Reorder the terms: 6(-5 + 2t) + 5 = 60 + -2 (-5 * 6 + 2t * 6) + 5 = 60 + -2 (-30 + 12t) + 5 = 60 + -2 Reorder the terms: -30 + 5 + 12t = 60 + -2 Combine like terms: -30 + 5 = -25 -25 + 12t = 60 + -2 Combine like terms: 60 + -2 = 58 -25 + 12t = 58 Solving -25 + 12t = 58 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 12t = 58 + 25 Combine like terms: -25 + 25 = 0 0 + 12t = 58 + 25 12t = 58 + 25 Combine like terms: 58 + 25 = 83 12t = 83 Divide each side by '12'. t = 6.916666667 Simplifying t = 6.916666667
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