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Simplifying -8(t + -4) + -1(t + 6) = 5 Reorder the terms: -8(-4 + t) + -1(t + 6) = 5 (-4 * -8 + t * -8) + -1(t + 6) = 5 (32 + -8t) + -1(t + 6) = 5 Reorder the terms: 32 + -8t + -1(6 + t) = 5 32 + -8t + (6 * -1 + t * -1) = 5 32 + -8t + (-6 + -1t) = 5 Reorder the terms: 32 + -6 + -8t + -1t = 5 Combine like terms: 32 + -6 = 26 26 + -8t + -1t = 5 Combine like terms: -8t + -1t = -9t 26 + -9t = 5 Solving 26 + -9t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -9t = 5 + -26 Combine like terms: 26 + -26 = 0 0 + -9t = 5 + -26 -9t = 5 + -26 Combine like terms: 5 + -26 = -21 -9t = -21 Divide each side by '-9'. t = 2.333333333 Simplifying t = 2.333333333
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