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