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Simplifying 6(2t + 9) = 12 + 1 Reorder the terms: 6(9 + 2t) = 12 + 1 (9 * 6 + 2t * 6) = 12 + 1 (54 + 12t) = 12 + 1 Combine like terms: 12 + 1 = 13 54 + 12t = 13 Solving 54 + 12t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 12t = 13 + -54 Combine like terms: 54 + -54 = 0 0 + 12t = 13 + -54 12t = 13 + -54 Combine like terms: 13 + -54 = -41 12t = -41 Divide each side by '12'. t = -3.416666667 Simplifying t = -3.416666667
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