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Simplifying 5(4t + 6) + 10t = 0 Reorder the terms: 5(6 + 4t) + 10t = 0 (6 * 5 + 4t * 5) + 10t = 0 (30 + 20t) + 10t = 0 Combine like terms: 20t + 10t = 30t 30 + 30t = 0 Solving 30 + 30t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 30t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 30t = 0 + -30 30t = 0 + -30 Combine like terms: 0 + -30 = -30 30t = -30 Divide each side by '30'. t = -1 Simplifying t = -1
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