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Simplifying 8t + 1 + -2(3t + -1) = 0 Reorder the terms: 8t + 1 + -2(-1 + 3t) = 0 8t + 1 + (-1 * -2 + 3t * -2) = 0 8t + 1 + (2 + -6t) = 0 Reorder the terms: 1 + 2 + 8t + -6t = 0 Combine like terms: 1 + 2 = 3 3 + 8t + -6t = 0 Combine like terms: 8t + -6t = 2t 3 + 2t = 0 Solving 3 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2t = 0 + -3 2t = 0 + -3 Combine like terms: 0 + -3 = -3 2t = -3 Divide each side by '2'. t = -1.5 Simplifying t = -1.5
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