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Simplifying 4t + 30 + 5(t + 4) = 0 Reorder the terms: 4t + 30 + 5(4 + t) = 0 4t + 30 + (4 * 5 + t * 5) = 0 4t + 30 + (20 + 5t) = 0 Reorder the terms: 30 + 20 + 4t + 5t = 0 Combine like terms: 30 + 20 = 50 50 + 4t + 5t = 0 Combine like terms: 4t + 5t = 9t 50 + 9t = 0 Solving 50 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 9t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 9t = 0 + -50 9t = 0 + -50 Combine like terms: 0 + -50 = -50 9t = -50 Divide each side by '9'. t = -5.555555556 Simplifying t = -5.555555556
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