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