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Simplifying -8(t + -2) + -1(t + 9) = 1 Reorder the terms: -8(-2 + t) + -1(t + 9) = 1 (-2 * -8 + t * -8) + -1(t + 9) = 1 (16 + -8t) + -1(t + 9) = 1 Reorder the terms: 16 + -8t + -1(9 + t) = 1 16 + -8t + (9 * -1 + t * -1) = 1 16 + -8t + (-9 + -1t) = 1 Reorder the terms: 16 + -9 + -8t + -1t = 1 Combine like terms: 16 + -9 = 7 7 + -8t + -1t = 1 Combine like terms: -8t + -1t = -9t 7 + -9t = 1 Solving 7 + -9t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9t = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -9t = 1 + -7 -9t = 1 + -7 Combine like terms: 1 + -7 = -6 -9t = -6 Divide each side by '-9'. t = 0.6666666667 Simplifying t = 0.6666666667
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