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Simplifying 4(2t + 1) = 3(t + 13) Reorder the terms: 4(1 + 2t) = 3(t + 13) (1 * 4 + 2t * 4) = 3(t + 13) (4 + 8t) = 3(t + 13) Reorder the terms: 4 + 8t = 3(13 + t) 4 + 8t = (13 * 3 + t * 3) 4 + 8t = (39 + 3t) Solving 4 + 8t = 39 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 4 + 8t + -3t = 39 + 3t + -3t Combine like terms: 8t + -3t = 5t 4 + 5t = 39 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + 5t = 39 + 0 4 + 5t = 39 Add '-4' to each side of the equation. 4 + -4 + 5t = 39 + -4 Combine like terms: 4 + -4 = 0 0 + 5t = 39 + -4 5t = 39 + -4 Combine like terms: 39 + -4 = 35 5t = 35 Divide each side by '5'. t = 7 Simplifying t = 7
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