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Simplifying 5(2t + -10) = 60 + -12t Reorder the terms: 5(-10 + 2t) = 60 + -12t (-10 * 5 + 2t * 5) = 60 + -12t (-50 + 10t) = 60 + -12t Solving -50 + 10t = 60 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. -50 + 10t + 12t = 60 + -12t + 12t Combine like terms: 10t + 12t = 22t -50 + 22t = 60 + -12t + 12t Combine like terms: -12t + 12t = 0 -50 + 22t = 60 + 0 -50 + 22t = 60 Add '50' to each side of the equation. -50 + 50 + 22t = 60 + 50 Combine like terms: -50 + 50 = 0 0 + 22t = 60 + 50 22t = 60 + 50 Combine like terms: 60 + 50 = 110 22t = 110 Divide each side by '22'. t = 5 Simplifying t = 5
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