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Simplifying 0 = 9 + 5(t + 1) + 4t Reorder the terms: 0 = 9 + 5(1 + t) + 4t 0 = 9 + (1 * 5 + t * 5) + 4t 0 = 9 + (5 + 5t) + 4t Combine like terms: 9 + 5 = 14 0 = 14 + 5t + 4t Combine like terms: 5t + 4t = 9t 0 = 14 + 9t Solving 0 = 14 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 0 + -9t = 14 + 9t + -9t Remove the zero: -9t = 14 + 9t + -9t Combine like terms: 9t + -9t = 0 -9t = 14 + 0 -9t = 14 Divide each side by '-9'. t = -1.555555556 Simplifying t = -1.555555556
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