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Simplifying 4(3t + 2) = 3(t + 5) Reorder the terms: 4(2 + 3t) = 3(t + 5) (2 * 4 + 3t * 4) = 3(t + 5) (8 + 12t) = 3(t + 5) Reorder the terms: 8 + 12t = 3(5 + t) 8 + 12t = (5 * 3 + t * 3) 8 + 12t = (15 + 3t) Solving 8 + 12t = 15 + 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. 8 + 12t + -3t = 15 + 3t + -3t Combine like terms: 12t + -3t = 9t 8 + 9t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 9t = 15 + 0 8 + 9t = 15 Add '-8' to each side of the equation. 8 + -8 + 9t = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 9t = 15 + -8 9t = 15 + -8 Combine like terms: 15 + -8 = 7 9t = 7 Divide each side by '9'. t = 0.7777777778 Simplifying t = 0.7777777778
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