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Simplifying -9(t + -9) + -1(t + 7) = 3 Reorder the terms: -9(-9 + t) + -1(t + 7) = 3 (-9 * -9 + t * -9) + -1(t + 7) = 3 (81 + -9t) + -1(t + 7) = 3 Reorder the terms: 81 + -9t + -1(7 + t) = 3 81 + -9t + (7 * -1 + t * -1) = 3 81 + -9t + (-7 + -1t) = 3 Reorder the terms: 81 + -7 + -9t + -1t = 3 Combine like terms: 81 + -7 = 74 74 + -9t + -1t = 3 Combine like terms: -9t + -1t = -10t 74 + -10t = 3 Solving 74 + -10t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -10t = 3 + -74 Combine like terms: 74 + -74 = 0 0 + -10t = 3 + -74 -10t = 3 + -74 Combine like terms: 3 + -74 = -71 -10t = -71 Divide each side by '-10'. t = 7.1 Simplifying t = 7.1
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