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Simplifying 5(4t + 3) = 6(3t + 2) + -1 Reorder the terms: 5(3 + 4t) = 6(3t + 2) + -1 (3 * 5 + 4t * 5) = 6(3t + 2) + -1 (15 + 20t) = 6(3t + 2) + -1 Reorder the terms: 15 + 20t = 6(2 + 3t) + -1 15 + 20t = (2 * 6 + 3t * 6) + -1 15 + 20t = (12 + 18t) + -1 Reorder the terms: 15 + 20t = 12 + -1 + 18t Combine like terms: 12 + -1 = 11 15 + 20t = 11 + 18t Solving 15 + 20t = 11 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 15 + 20t + -18t = 11 + 18t + -18t Combine like terms: 20t + -18t = 2t 15 + 2t = 11 + 18t + -18t Combine like terms: 18t + -18t = 0 15 + 2t = 11 + 0 15 + 2t = 11 Add '-15' to each side of the equation. 15 + -15 + 2t = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 2t = 11 + -15 2t = 11 + -15 Combine like terms: 11 + -15 = -4 2t = -4 Divide each side by '2'. t = -2 Simplifying t = -2
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