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Simplifying 4(6t + 9) + -10t = 0 Reorder the terms: 4(9 + 6t) + -10t = 0 (9 * 4 + 6t * 4) + -10t = 0 (36 + 24t) + -10t = 0 Combine like terms: 24t + -10t = 14t 36 + 14t = 0 Solving 36 + 14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 14t = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 14t = 0 + -36 14t = 0 + -36 Combine like terms: 0 + -36 = -36 14t = -36 Divide each side by '14'. t = -2.571428571 Simplifying t = -2.571428571
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