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Simplifying -8(t + -3) + -1(t + 2) = 6 Reorder the terms: -8(-3 + t) + -1(t + 2) = 6 (-3 * -8 + t * -8) + -1(t + 2) = 6 (24 + -8t) + -1(t + 2) = 6 Reorder the terms: 24 + -8t + -1(2 + t) = 6 24 + -8t + (2 * -1 + t * -1) = 6 24 + -8t + (-2 + -1t) = 6 Reorder the terms: 24 + -2 + -8t + -1t = 6 Combine like terms: 24 + -2 = 22 22 + -8t + -1t = 6 Combine like terms: -8t + -1t = -9t 22 + -9t = 6 Solving 22 + -9t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -9t = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -9t = 6 + -22 -9t = 6 + -22 Combine like terms: 6 + -22 = -16 -9t = -16 Divide each side by '-9'. t = 1.777777778 Simplifying t = 1.777777778
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