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Simplifying 2(6t + 1) + -4(t + -1) = 9 Reorder the terms: 2(1 + 6t) + -4(t + -1) = 9 (1 * 2 + 6t * 2) + -4(t + -1) = 9 (2 + 12t) + -4(t + -1) = 9 Reorder the terms: 2 + 12t + -4(-1 + t) = 9 2 + 12t + (-1 * -4 + t * -4) = 9 2 + 12t + (4 + -4t) = 9 Reorder the terms: 2 + 4 + 12t + -4t = 9 Combine like terms: 2 + 4 = 6 6 + 12t + -4t = 9 Combine like terms: 12t + -4t = 8t 6 + 8t = 9 Solving 6 + 8t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8t = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 8t = 9 + -6 8t = 9 + -6 Combine like terms: 9 + -6 = 3 8t = 3 Divide each side by '8'. t = 0.375 Simplifying t = 0.375
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