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Simplifying -8(t + -5) + -1(t + 4) = 9 Reorder the terms: -8(-5 + t) + -1(t + 4) = 9 (-5 * -8 + t * -8) + -1(t + 4) = 9 (40 + -8t) + -1(t + 4) = 9 Reorder the terms: 40 + -8t + -1(4 + t) = 9 40 + -8t + (4 * -1 + t * -1) = 9 40 + -8t + (-4 + -1t) = 9 Reorder the terms: 40 + -4 + -8t + -1t = 9 Combine like terms: 40 + -4 = 36 36 + -8t + -1t = 9 Combine like terms: -8t + -1t = -9t 36 + -9t = 9 Solving 36 + -9t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -9t = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -9t = 9 + -36 -9t = 9 + -36 Combine like terms: 9 + -36 = -27 -9t = -27 Divide each side by '-9'. t = 3 Simplifying t = 3
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