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Simplifying -9(t + -4) + -1(t + 5) = 10 Reorder the terms: -9(-4 + t) + -1(t + 5) = 10 (-4 * -9 + t * -9) + -1(t + 5) = 10 (36 + -9t) + -1(t + 5) = 10 Reorder the terms: 36 + -9t + -1(5 + t) = 10 36 + -9t + (5 * -1 + t * -1) = 10 36 + -9t + (-5 + -1t) = 10 Reorder the terms: 36 + -5 + -9t + -1t = 10 Combine like terms: 36 + -5 = 31 31 + -9t + -1t = 10 Combine like terms: -9t + -1t = -10t 31 + -10t = 10 Solving 31 + -10t = 10 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 + -10t = 10 + -31 Combine like terms: 31 + -31 = 0 0 + -10t = 10 + -31 -10t = 10 + -31 Combine like terms: 10 + -31 = -21 -10t = -21 Divide each side by '-10'. t = 2.1 Simplifying t = 2.1
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