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Simplifying 6(2t + -1) + 15 = 4t + 3(t + 3) Reorder the terms: 6(-1 + 2t) + 15 = 4t + 3(t + 3) (-1 * 6 + 2t * 6) + 15 = 4t + 3(t + 3) (-6 + 12t) + 15 = 4t + 3(t + 3) Reorder the terms: -6 + 15 + 12t = 4t + 3(t + 3) Combine like terms: -6 + 15 = 9 9 + 12t = 4t + 3(t + 3) Reorder the terms: 9 + 12t = 4t + 3(3 + t) 9 + 12t = 4t + (3 * 3 + t * 3) 9 + 12t = 4t + (9 + 3t) Reorder the terms: 9 + 12t = 9 + 4t + 3t Combine like terms: 4t + 3t = 7t 9 + 12t = 9 + 7t Add '-9' to each side of the equation. 9 + -9 + 12t = 9 + -9 + 7t Combine like terms: 9 + -9 = 0 0 + 12t = 9 + -9 + 7t 12t = 9 + -9 + 7t Combine like terms: 9 + -9 = 0 12t = 0 + 7t 12t = 7t Solving 12t = 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 12t + -7t = 7t + -7t Combine like terms: 12t + -7t = 5t 5t = 7t + -7t Combine like terms: 7t + -7t = 0 5t = 0 Divide each side by '5'. t = 0 Simplifying t = 0
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