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Simplifying -8(t + -9) + -1(t + 8) = 11 Reorder the terms: -8(-9 + t) + -1(t + 8) = 11 (-9 * -8 + t * -8) + -1(t + 8) = 11 (72 + -8t) + -1(t + 8) = 11 Reorder the terms: 72 + -8t + -1(8 + t) = 11 72 + -8t + (8 * -1 + t * -1) = 11 72 + -8t + (-8 + -1t) = 11 Reorder the terms: 72 + -8 + -8t + -1t = 11 Combine like terms: 72 + -8 = 64 64 + -8t + -1t = 11 Combine like terms: -8t + -1t = -9t 64 + -9t = 11 Solving 64 + -9t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -9t = 11 + -64 Combine like terms: 64 + -64 = 0 0 + -9t = 11 + -64 -9t = 11 + -64 Combine like terms: 11 + -64 = -53 -9t = -53 Divide each side by '-9'. t = 5.888888889 Simplifying t = 5.888888889
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