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Simplifying -5t + 2(4 + 5t) + 9 = 0 -5t + (4 * 2 + 5t * 2) + 9 = 0 -5t + (8 + 10t) + 9 = 0 Reorder the terms: 8 + 9 + -5t + 10t = 0 Combine like terms: 8 + 9 = 17 17 + -5t + 10t = 0 Combine like terms: -5t + 10t = 5t 17 + 5t = 0 Solving 17 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5t = 0 + -17 5t = 0 + -17 Combine like terms: 0 + -17 = -17 5t = -17 Divide each side by '5'. t = -3.4 Simplifying t = -3.4
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