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Simplifying 3(4t + 1) = 78 Reorder the terms: 3(1 + 4t) = 78 (1 * 3 + 4t * 3) = 78 (3 + 12t) = 78 Solving 3 + 12t = 78 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 + 12t = 78 + -3 Combine like terms: 3 + -3 = 0 0 + 12t = 78 + -3 12t = 78 + -3 Combine like terms: 78 + -3 = 75 12t = 75 Divide each side by '12'. t = 6.25 Simplifying t = 6.25
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