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Simplifying -9(t + -9) + -1(t + 2) = 5 Reorder the terms: -9(-9 + t) + -1(t + 2) = 5 (-9 * -9 + t * -9) + -1(t + 2) = 5 (81 + -9t) + -1(t + 2) = 5 Reorder the terms: 81 + -9t + -1(2 + t) = 5 81 + -9t + (2 * -1 + t * -1) = 5 81 + -9t + (-2 + -1t) = 5 Reorder the terms: 81 + -2 + -9t + -1t = 5 Combine like terms: 81 + -2 = 79 79 + -9t + -1t = 5 Combine like terms: -9t + -1t = -10t 79 + -10t = 5 Solving 79 + -10t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + -10t = 5 + -79 Combine like terms: 79 + -79 = 0 0 + -10t = 5 + -79 -10t = 5 + -79 Combine like terms: 5 + -79 = -74 -10t = -74 Divide each side by '-10'. t = 7.4 Simplifying t = 7.4
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