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Simplifying 2(12t + 1) = 5(6t + 4) Reorder the terms: 2(1 + 12t) = 5(6t + 4) (1 * 2 + 12t * 2) = 5(6t + 4) (2 + 24t) = 5(6t + 4) Reorder the terms: 2 + 24t = 5(4 + 6t) 2 + 24t = (4 * 5 + 6t * 5) 2 + 24t = (20 + 30t) Solving 2 + 24t = 20 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. 2 + 24t + -30t = 20 + 30t + -30t Combine like terms: 24t + -30t = -6t 2 + -6t = 20 + 30t + -30t Combine like terms: 30t + -30t = 0 2 + -6t = 20 + 0 2 + -6t = 20 Add '-2' to each side of the equation. 2 + -2 + -6t = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -6t = 20 + -2 -6t = 20 + -2 Combine like terms: 20 + -2 = 18 -6t = 18 Divide each side by '-6'. t = -3 Simplifying t = -3
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