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Simplifying 6 + 6(2t + -1) = 3t + 12t Reorder the terms: 6 + 6(-1 + 2t) = 3t + 12t 6 + (-1 * 6 + 2t * 6) = 3t + 12t 6 + (-6 + 12t) = 3t + 12t Combine like terms: 6 + -6 = 0 0 + 12t = 3t + 12t 12t = 3t + 12t Combine like terms: 3t + 12t = 15t 12t = 15t Solving 12t = 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 12t + -15t = 15t + -15t Combine like terms: 12t + -15t = -3t -3t = 15t + -15t Combine like terms: 15t + -15t = 0 -3t = 0 Divide each side by '-3'. t = 0 Simplifying t = 0
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