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Simplifying -4(t + -9) + -1(t + 5) = 3 Reorder the terms: -4(-9 + t) + -1(t + 5) = 3 (-9 * -4 + t * -4) + -1(t + 5) = 3 (36 + -4t) + -1(t + 5) = 3 Reorder the terms: 36 + -4t + -1(5 + t) = 3 36 + -4t + (5 * -1 + t * -1) = 3 36 + -4t + (-5 + -1t) = 3 Reorder the terms: 36 + -5 + -4t + -1t = 3 Combine like terms: 36 + -5 = 31 31 + -4t + -1t = 3 Combine like terms: -4t + -1t = -5t 31 + -5t = 3 Solving 31 + -5t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -5t = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -5t = 3 + -31 -5t = 3 + -31 Combine like terms: 3 + -31 = -28 -5t = -28 Divide each side by '-5'. t = 5.6 Simplifying t = 5.6
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