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Simplifying -8(t + -3) + -1(t + 3) = 2 Reorder the terms: -8(-3 + t) + -1(t + 3) = 2 (-3 * -8 + t * -8) + -1(t + 3) = 2 (24 + -8t) + -1(t + 3) = 2 Reorder the terms: 24 + -8t + -1(3 + t) = 2 24 + -8t + (3 * -1 + t * -1) = 2 24 + -8t + (-3 + -1t) = 2 Reorder the terms: 24 + -3 + -8t + -1t = 2 Combine like terms: 24 + -3 = 21 21 + -8t + -1t = 2 Combine like terms: -8t + -1t = -9t 21 + -9t = 2 Solving 21 + -9t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -9t = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -9t = 2 + -21 -9t = 2 + -21 Combine like terms: 2 + -21 = -19 -9t = -19 Divide each side by '-9'. t = 2.111111111 Simplifying t = 2.111111111
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