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Simplifying -8(t + -5) + -1(t + 2) = 6 Reorder the terms: -8(-5 + t) + -1(t + 2) = 6 (-5 * -8 + t * -8) + -1(t + 2) = 6 (40 + -8t) + -1(t + 2) = 6 Reorder the terms: 40 + -8t + -1(2 + t) = 6 40 + -8t + (2 * -1 + t * -1) = 6 40 + -8t + (-2 + -1t) = 6 Reorder the terms: 40 + -2 + -8t + -1t = 6 Combine like terms: 40 + -2 = 38 38 + -8t + -1t = 6 Combine like terms: -8t + -1t = -9t 38 + -9t = 6 Solving 38 + -9t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -9t = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -9t = 6 + -38 -9t = 6 + -38 Combine like terms: 6 + -38 = -32 -9t = -32 Divide each side by '-9'. t = 3.555555556 Simplifying t = 3.555555556
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