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Simplifying -9(t + -9) + -1(t + 5) = 8 Reorder the terms: -9(-9 + t) + -1(t + 5) = 8 (-9 * -9 + t * -9) + -1(t + 5) = 8 (81 + -9t) + -1(t + 5) = 8 Reorder the terms: 81 + -9t + -1(5 + t) = 8 81 + -9t + (5 * -1 + t * -1) = 8 81 + -9t + (-5 + -1t) = 8 Reorder the terms: 81 + -5 + -9t + -1t = 8 Combine like terms: 81 + -5 = 76 76 + -9t + -1t = 8 Combine like terms: -9t + -1t = -10t 76 + -10t = 8 Solving 76 + -10t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + -10t = 8 + -76 Combine like terms: 76 + -76 = 0 0 + -10t = 8 + -76 -10t = 8 + -76 Combine like terms: 8 + -76 = -68 -10t = -68 Divide each side by '-10'. t = 6.8 Simplifying t = 6.8
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