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Simplifying 2(5t + 8) + 9(2t + 1) = 0 Reorder the terms: 2(8 + 5t) + 9(2t + 1) = 0 (8 * 2 + 5t * 2) + 9(2t + 1) = 0 (16 + 10t) + 9(2t + 1) = 0 Reorder the terms: 16 + 10t + 9(1 + 2t) = 0 16 + 10t + (1 * 9 + 2t * 9) = 0 16 + 10t + (9 + 18t) = 0 Reorder the terms: 16 + 9 + 10t + 18t = 0 Combine like terms: 16 + 9 = 25 25 + 10t + 18t = 0 Combine like terms: 10t + 18t = 28t 25 + 28t = 0 Solving 25 + 28t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 28t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 28t = 0 + -25 28t = 0 + -25 Combine like terms: 0 + -25 = -25 28t = -25 Divide each side by '28'. t = -0.8928571429 Simplifying t = -0.8928571429
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