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Simplifying -9(t + -9) + -1(t + 6) = 9 Reorder the terms: -9(-9 + t) + -1(t + 6) = 9 (-9 * -9 + t * -9) + -1(t + 6) = 9 (81 + -9t) + -1(t + 6) = 9 Reorder the terms: 81 + -9t + -1(6 + t) = 9 81 + -9t + (6 * -1 + t * -1) = 9 81 + -9t + (-6 + -1t) = 9 Reorder the terms: 81 + -6 + -9t + -1t = 9 Combine like terms: 81 + -6 = 75 75 + -9t + -1t = 9 Combine like terms: -9t + -1t = -10t 75 + -10t = 9 Solving 75 + -10t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -10t = 9 + -75 Combine like terms: 75 + -75 = 0 0 + -10t = 9 + -75 -10t = 9 + -75 Combine like terms: 9 + -75 = -66 -10t = -66 Divide each side by '-10'. t = 6.6 Simplifying t = 6.6
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