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Simplifying 96t = 84(t + 1) Reorder the terms: 96t = 84(1 + t) 96t = (1 * 84 + t * 84) 96t = (84 + 84t) Solving 96t = 84 + 84t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-84t' to each side of the equation. 96t + -84t = 84 + 84t + -84t Combine like terms: 96t + -84t = 12t 12t = 84 + 84t + -84t Combine like terms: 84t + -84t = 0 12t = 84 + 0 12t = 84 Divide each side by '12'. t = 7 Simplifying t = 7
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