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