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Simplifying -8(t + -4) + -1(t + 5) = 4 Reorder the terms: -8(-4 + t) + -1(t + 5) = 4 (-4 * -8 + t * -8) + -1(t + 5) = 4 (32 + -8t) + -1(t + 5) = 4 Reorder the terms: 32 + -8t + -1(5 + t) = 4 32 + -8t + (5 * -1 + t * -1) = 4 32 + -8t + (-5 + -1t) = 4 Reorder the terms: 32 + -5 + -8t + -1t = 4 Combine like terms: 32 + -5 = 27 27 + -8t + -1t = 4 Combine like terms: -8t + -1t = -9t 27 + -9t = 4 Solving 27 + -9t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -9t = 4 + -27 Combine like terms: 27 + -27 = 0 0 + -9t = 4 + -27 -9t = 4 + -27 Combine like terms: 4 + -27 = -23 -9t = -23 Divide each side by '-9'. t = 2.555555556 Simplifying t = 2.555555556
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