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Simplifying 8t + -1(2t + 3) = 1 + 3t Reorder the terms: 8t + -1(3 + 2t) = 1 + 3t 8t + (3 * -1 + 2t * -1) = 1 + 3t 8t + (-3 + -2t) = 1 + 3t Reorder the terms: -3 + 8t + -2t = 1 + 3t Combine like terms: 8t + -2t = 6t -3 + 6t = 1 + 3t Solving -3 + 6t = 1 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -3 + 6t + -3t = 1 + 3t + -3t Combine like terms: 6t + -3t = 3t -3 + 3t = 1 + 3t + -3t Combine like terms: 3t + -3t = 0 -3 + 3t = 1 + 0 -3 + 3t = 1 Add '3' to each side of the equation. -3 + 3 + 3t = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3t = 1 + 3 3t = 1 + 3 Combine like terms: 1 + 3 = 4 3t = 4 Divide each side by '3'. t = 1.333333333 Simplifying t = 1.333333333
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