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Simplifying -8(t + -5) + -1(t + 8) = 2 Reorder the terms: -8(-5 + t) + -1(t + 8) = 2 (-5 * -8 + t * -8) + -1(t + 8) = 2 (40 + -8t) + -1(t + 8) = 2 Reorder the terms: 40 + -8t + -1(8 + t) = 2 40 + -8t + (8 * -1 + t * -1) = 2 40 + -8t + (-8 + -1t) = 2 Reorder the terms: 40 + -8 + -8t + -1t = 2 Combine like terms: 40 + -8 = 32 32 + -8t + -1t = 2 Combine like terms: -8t + -1t = -9t 32 + -9t = 2 Solving 32 + -9t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -9t = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -9t = 2 + -32 -9t = 2 + -32 Combine like terms: 2 + -32 = -30 -9t = -30 Divide each side by '-9'. t = 3.333333333 Simplifying t = 3.333333333
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