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Simplifying 3(4t + 5) + -6 = 9(t + 2) Reorder the terms: 3(5 + 4t) + -6 = 9(t + 2) (5 * 3 + 4t * 3) + -6 = 9(t + 2) (15 + 12t) + -6 = 9(t + 2) Reorder the terms: 15 + -6 + 12t = 9(t + 2) Combine like terms: 15 + -6 = 9 9 + 12t = 9(t + 2) Reorder the terms: 9 + 12t = 9(2 + t) 9 + 12t = (2 * 9 + t * 9) 9 + 12t = (18 + 9t) Solving 9 + 12t = 18 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 9 + 12t + -9t = 18 + 9t + -9t Combine like terms: 12t + -9t = 3t 9 + 3t = 18 + 9t + -9t Combine like terms: 9t + -9t = 0 9 + 3t = 18 + 0 9 + 3t = 18 Add '-9' to each side of the equation. 9 + -9 + 3t = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3t = 18 + -9 3t = 18 + -9 Combine like terms: 18 + -9 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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