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Simplifying -8(t + -3) + -1(t + 5) = 9 Reorder the terms: -8(-3 + t) + -1(t + 5) = 9 (-3 * -8 + t * -8) + -1(t + 5) = 9 (24 + -8t) + -1(t + 5) = 9 Reorder the terms: 24 + -8t + -1(5 + t) = 9 24 + -8t + (5 * -1 + t * -1) = 9 24 + -8t + (-5 + -1t) = 9 Reorder the terms: 24 + -5 + -8t + -1t = 9 Combine like terms: 24 + -5 = 19 19 + -8t + -1t = 9 Combine like terms: -8t + -1t = -9t 19 + -9t = 9 Solving 19 + -9t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -9t = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -9t = 9 + -19 -9t = 9 + -19 Combine like terms: 9 + -19 = -10 -9t = -10 Divide each side by '-9'. t = 1.111111111 Simplifying t = 1.111111111
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