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Simplifying 6(2t + 9) = 12r + -1 Reorder the terms: 6(9 + 2t) = 12r + -1 (9 * 6 + 2t * 6) = 12r + -1 (54 + 12t) = 12r + -1 Reorder the terms: 54 + 12t = -1 + 12r Solving 54 + 12t = -1 + 12r 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 = -1 + -54 + 12r Combine like terms: 54 + -54 = 0 0 + 12t = -1 + -54 + 12r 12t = -1 + -54 + 12r Combine like terms: -1 + -54 = -55 12t = -55 + 12r Divide each side by '12'. t = -4.583333333 + r Simplifying t = -4.583333333 + r
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