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Simplifying -8(t + -3) + -1(t + 8) = 2 Reorder the terms: -8(-3 + t) + -1(t + 8) = 2 (-3 * -8 + t * -8) + -1(t + 8) = 2 (24 + -8t) + -1(t + 8) = 2 Reorder the terms: 24 + -8t + -1(8 + t) = 2 24 + -8t + (8 * -1 + t * -1) = 2 24 + -8t + (-8 + -1t) = 2 Reorder the terms: 24 + -8 + -8t + -1t = 2 Combine like terms: 24 + -8 = 16 16 + -8t + -1t = 2 Combine like terms: -8t + -1t = -9t 16 + -9t = 2 Solving 16 + -9t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -9t = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -9t = 2 + -16 -9t = 2 + -16 Combine like terms: 2 + -16 = -14 -9t = -14 Divide each side by '-9'. t = 1.555555556 Simplifying t = 1.555555556
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