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Simplifying -8(t + -9) + -1(t + 9) = 3 Reorder the terms: -8(-9 + t) + -1(t + 9) = 3 (-9 * -8 + t * -8) + -1(t + 9) = 3 (72 + -8t) + -1(t + 9) = 3 Reorder the terms: 72 + -8t + -1(9 + t) = 3 72 + -8t + (9 * -1 + t * -1) = 3 72 + -8t + (-9 + -1t) = 3 Reorder the terms: 72 + -9 + -8t + -1t = 3 Combine like terms: 72 + -9 = 63 63 + -8t + -1t = 3 Combine like terms: -8t + -1t = -9t 63 + -9t = 3 Solving 63 + -9t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -9t = 3 + -63 Combine like terms: 63 + -63 = 0 0 + -9t = 3 + -63 -9t = 3 + -63 Combine like terms: 3 + -63 = -60 -9t = -60 Divide each side by '-9'. t = 6.666666667 Simplifying t = 6.666666667
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