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Simplifying 8(2t + -3) + 5t = 36 + -1t Reorder the terms: 8(-3 + 2t) + 5t = 36 + -1t (-3 * 8 + 2t * 8) + 5t = 36 + -1t (-24 + 16t) + 5t = 36 + -1t Combine like terms: 16t + 5t = 21t -24 + 21t = 36 + -1t Solving -24 + 21t = 36 + -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. -24 + 21t + t = 36 + -1t + t Combine like terms: 21t + t = 22t -24 + 22t = 36 + -1t + t Combine like terms: -1t + t = 0 -24 + 22t = 36 + 0 -24 + 22t = 36 Add '24' to each side of the equation. -24 + 24 + 22t = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 22t = 36 + 24 22t = 36 + 24 Combine like terms: 36 + 24 = 60 22t = 60 Divide each side by '22'. t = 2.727272727 Simplifying t = 2.727272727
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