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Simplifying -9(t + -9) + -1(t + 7) = 6 Reorder the terms: -9(-9 + t) + -1(t + 7) = 6 (-9 * -9 + t * -9) + -1(t + 7) = 6 (81 + -9t) + -1(t + 7) = 6 Reorder the terms: 81 + -9t + -1(7 + t) = 6 81 + -9t + (7 * -1 + t * -1) = 6 81 + -9t + (-7 + -1t) = 6 Reorder the terms: 81 + -7 + -9t + -1t = 6 Combine like terms: 81 + -7 = 74 74 + -9t + -1t = 6 Combine like terms: -9t + -1t = -10t 74 + -10t = 6 Solving 74 + -10t = 6 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 = 6 + -74 Combine like terms: 74 + -74 = 0 0 + -10t = 6 + -74 -10t = 6 + -74 Combine like terms: 6 + -74 = -68 -10t = -68 Divide each side by '-10'. t = 6.8 Simplifying t = 6.8
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