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Simplifying -8(t + -9) + -1(t + 4) = 7 Reorder the terms: -8(-9 + t) + -1(t + 4) = 7 (-9 * -8 + t * -8) + -1(t + 4) = 7 (72 + -8t) + -1(t + 4) = 7 Reorder the terms: 72 + -8t + -1(4 + t) = 7 72 + -8t + (4 * -1 + t * -1) = 7 72 + -8t + (-4 + -1t) = 7 Reorder the terms: 72 + -4 + -8t + -1t = 7 Combine like terms: 72 + -4 = 68 68 + -8t + -1t = 7 Combine like terms: -8t + -1t = -9t 68 + -9t = 7 Solving 68 + -9t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -9t = 7 + -68 Combine like terms: 68 + -68 = 0 0 + -9t = 7 + -68 -9t = 7 + -68 Combine like terms: 7 + -68 = -61 -9t = -61 Divide each side by '-9'. t = 6.777777778 Simplifying t = 6.777777778
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