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Simplifying -9(t + -5) + -1(t + 6) = 8 Reorder the terms: -9(-5 + t) + -1(t + 6) = 8 (-5 * -9 + t * -9) + -1(t + 6) = 8 (45 + -9t) + -1(t + 6) = 8 Reorder the terms: 45 + -9t + -1(6 + t) = 8 45 + -9t + (6 * -1 + t * -1) = 8 45 + -9t + (-6 + -1t) = 8 Reorder the terms: 45 + -6 + -9t + -1t = 8 Combine like terms: 45 + -6 = 39 39 + -9t + -1t = 8 Combine like terms: -9t + -1t = -10t 39 + -10t = 8 Solving 39 + -10t = 8 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 + -10t = 8 + -39 Combine like terms: 39 + -39 = 0 0 + -10t = 8 + -39 -10t = 8 + -39 Combine like terms: 8 + -39 = -31 -10t = -31 Divide each side by '-10'. t = 3.1 Simplifying t = 3.1
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