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Simplifying 4(t + -5) + 5(5 + t) = 0 Reorder the terms: 4(-5 + t) + 5(5 + t) = 0 (-5 * 4 + t * 4) + 5(5 + t) = 0 (-20 + 4t) + 5(5 + t) = 0 -20 + 4t + (5 * 5 + t * 5) = 0 -20 + 4t + (25 + 5t) = 0 Reorder the terms: -20 + 25 + 4t + 5t = 0 Combine like terms: -20 + 25 = 5 5 + 4t + 5t = 0 Combine like terms: 4t + 5t = 9t 5 + 9t = 0 Solving 5 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9t = 0 + -5 9t = 0 + -5 Combine like terms: 0 + -5 = -5 9t = -5 Divide each side by '9'. t = -0.5555555556 Simplifying t = -0.5555555556
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