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Simplifying 6(2t + -5) + 5t = 60 + -1t Reorder the terms: 6(-5 + 2t) + 5t = 60 + -1t (-5 * 6 + 2t * 6) + 5t = 60 + -1t (-30 + 12t) + 5t = 60 + -1t Combine like terms: 12t + 5t = 17t -30 + 17t = 60 + -1t Solving -30 + 17t = 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. -30 + 17t + t = 60 + -1t + t Combine like terms: 17t + t = 18t -30 + 18t = 60 + -1t + t Combine like terms: -1t + t = 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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