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Simplifying 3(2 + t) + 4(3 + t) = 0 (2 * 3 + t * 3) + 4(3 + t) = 0 (6 + 3t) + 4(3 + t) = 0 6 + 3t + (3 * 4 + t * 4) = 0 6 + 3t + (12 + 4t) = 0 Reorder the terms: 6 + 12 + 3t + 4t = 0 Combine like terms: 6 + 12 = 18 18 + 3t + 4t = 0 Combine like terms: 3t + 4t = 7t 18 + 7t = 0 Solving 18 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7t = 0 + -18 7t = 0 + -18 Combine like terms: 0 + -18 = -18 7t = -18 Divide each side by '7'. t = -2.571428571 Simplifying t = -2.571428571
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