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Simplifying 3(4 + t) + 2(5 + t) = 0 (4 * 3 + t * 3) + 2(5 + t) = 0 (12 + 3t) + 2(5 + t) = 0 12 + 3t + (5 * 2 + t * 2) = 0 12 + 3t + (10 + 2t) = 0 Reorder the terms: 12 + 10 + 3t + 2t = 0 Combine like terms: 12 + 10 = 22 22 + 3t + 2t = 0 Combine like terms: 3t + 2t = 5t 22 + 5t = 0 Solving 22 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5t = 0 + -22 5t = 0 + -22 Combine like terms: 0 + -22 = -22 5t = -22 Divide each side by '5'. t = -4.4 Simplifying t = -4.4
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