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Simplifying -8(t + -4) + -1(t + 8) = 9 Reorder the terms: -8(-4 + t) + -1(t + 8) = 9 (-4 * -8 + t * -8) + -1(t + 8) = 9 (32 + -8t) + -1(t + 8) = 9 Reorder the terms: 32 + -8t + -1(8 + t) = 9 32 + -8t + (8 * -1 + t * -1) = 9 32 + -8t + (-8 + -1t) = 9 Reorder the terms: 32 + -8 + -8t + -1t = 9 Combine like terms: 32 + -8 = 24 24 + -8t + -1t = 9 Combine like terms: -8t + -1t = -9t 24 + -9t = 9 Solving 24 + -9t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -9t = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -9t = 9 + -24 -9t = 9 + -24 Combine like terms: 9 + -24 = -15 -9t = -15 Divide each side by '-9'. t = 1.666666667 Simplifying t = 1.666666667
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