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Simplifying 2(4t + -1) = 8 + -2t Reorder the terms: 2(-1 + 4t) = 8 + -2t (-1 * 2 + 4t * 2) = 8 + -2t (-2 + 8t) = 8 + -2t Solving -2 + 8t = 8 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -2 + 8t + 2t = 8 + -2t + 2t Combine like terms: 8t + 2t = 10t -2 + 10t = 8 + -2t + 2t Combine like terms: -2t + 2t = 0 -2 + 10t = 8 + 0 -2 + 10t = 8 Add '2' to each side of the equation. -2 + 2 + 10t = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10t = 8 + 2 10t = 8 + 2 Combine like terms: 8 + 2 = 10 10t = 10 Divide each side by '10'. t = 1 Simplifying t = 1
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