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Simplifying 4(6t + 1) = 4(4 + 3t) Reorder the terms: 4(1 + 6t) = 4(4 + 3t) (1 * 4 + 6t * 4) = 4(4 + 3t) (4 + 24t) = 4(4 + 3t) 4 + 24t = (4 * 4 + 3t * 4) 4 + 24t = (16 + 12t) Solving 4 + 24t = 16 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 4 + 24t + -12t = 16 + 12t + -12t Combine like terms: 24t + -12t = 12t 4 + 12t = 16 + 12t + -12t Combine like terms: 12t + -12t = 0 4 + 12t = 16 + 0 4 + 12t = 16 Add '-4' to each side of the equation. 4 + -4 + 12t = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 12t = 16 + -4 12t = 16 + -4 Combine like terms: 16 + -4 = 12 12t = 12 Divide each side by '12'. t = 1 Simplifying t = 1
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