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Simplifying 6(2t + -5) = 60 + -6t Reorder the terms: 6(-5 + 2t) = 60 + -6t (-5 * 6 + 2t * 6) = 60 + -6t (-30 + 12t) = 60 + -6t Solving -30 + 12t = 60 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -30 + 12t + 6t = 60 + -6t + 6t Combine like terms: 12t + 6t = 18t -30 + 18t = 60 + -6t + 6t Combine like terms: -6t + 6t = 0 -30 + 18t = 60 + 0 -30 + 18t = 60 Add '30' to each side of the equation. -30 + 30 + 18t = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 18t = 60 + 30 18t = 60 + 30 Combine like terms: 60 + 30 = 90 18t = 90 Divide each side by '18'. t = 5 Simplifying t = 5
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