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Simplifying -4(t + -5) + -1(t + 9) = 5 Reorder the terms: -4(-5 + t) + -1(t + 9) = 5 (-5 * -4 + t * -4) + -1(t + 9) = 5 (20 + -4t) + -1(t + 9) = 5 Reorder the terms: 20 + -4t + -1(9 + t) = 5 20 + -4t + (9 * -1 + t * -1) = 5 20 + -4t + (-9 + -1t) = 5 Reorder the terms: 20 + -9 + -4t + -1t = 5 Combine like terms: 20 + -9 = 11 11 + -4t + -1t = 5 Combine like terms: -4t + -1t = -5t 11 + -5t = 5 Solving 11 + -5t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5t = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -5t = 5 + -11 -5t = 5 + -11 Combine like terms: 5 + -11 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2
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