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Simplifying -8(t + -5) + -1(t + 1) = 7 Reorder the terms: -8(-5 + t) + -1(t + 1) = 7 (-5 * -8 + t * -8) + -1(t + 1) = 7 (40 + -8t) + -1(t + 1) = 7 Reorder the terms: 40 + -8t + -1(1 + t) = 7 40 + -8t + (1 * -1 + t * -1) = 7 40 + -8t + (-1 + -1t) = 7 Reorder the terms: 40 + -1 + -8t + -1t = 7 Combine like terms: 40 + -1 = 39 39 + -8t + -1t = 7 Combine like terms: -8t + -1t = -9t 39 + -9t = 7 Solving 39 + -9t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -9t = 7 + -39 Combine like terms: 39 + -39 = 0 0 + -9t = 7 + -39 -9t = 7 + -39 Combine like terms: 7 + -39 = -32 -9t = -32 Divide each side by '-9'. t = 3.555555556 Simplifying t = 3.555555556
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