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Simplifying 6t + 2(4t + 5) = 0 Reorder the terms: 6t + 2(5 + 4t) = 0 6t + (5 * 2 + 4t * 2) = 0 6t + (10 + 8t) = 0 Reorder the terms: 10 + 6t + 8t = 0 Combine like terms: 6t + 8t = 14t 10 + 14t = 0 Solving 10 + 14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 14t = 0 + -10 14t = 0 + -10 Combine like terms: 0 + -10 = -10 14t = -10 Divide each side by '14'. t = -0.7142857143 Simplifying t = -0.7142857143
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