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Simplifying 6 + 6(2t + -1) = 3 + 21t Reorder the terms: 6 + 6(-1 + 2t) = 3 + 21t 6 + (-1 * 6 + 2t * 6) = 3 + 21t 6 + (-6 + 12t) = 3 + 21t Combine like terms: 6 + -6 = 0 0 + 12t = 3 + 21t 12t = 3 + 21t Solving 12t = 3 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. 12t + -21t = 3 + 21t + -21t Combine like terms: 12t + -21t = -9t -9t = 3 + 21t + -21t Combine like terms: 21t + -21t = 0 -9t = 3 + 0 -9t = 3 Divide each side by '-9'. t = -0.3333333333 Simplifying t = -0.3333333333
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