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Simplifying 5(2t + -1) = 8t Reorder the terms: 5(-1 + 2t) = 8t (-1 * 5 + 2t * 5) = 8t (-5 + 10t) = 8t Solving -5 + 10t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -5 + 10t + -8t = 8t + -8t Combine like terms: 10t + -8t = 2t -5 + 2t = 8t + -8t Combine like terms: 8t + -8t = 0 -5 + 2t = 0 Add '5' to each side of the equation. -5 + 5 + 2t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2t = 0 + 5 2t = 0 + 5 Combine like terms: 0 + 5 = 5 2t = 5 Divide each side by '2'. t = 2.5 Simplifying t = 2.5
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