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Simplifying -8(t + -5) + -1(t + 7) = 2 Reorder the terms: -8(-5 + t) + -1(t + 7) = 2 (-5 * -8 + t * -8) + -1(t + 7) = 2 (40 + -8t) + -1(t + 7) = 2 Reorder the terms: 40 + -8t + -1(7 + t) = 2 40 + -8t + (7 * -1 + t * -1) = 2 40 + -8t + (-7 + -1t) = 2 Reorder the terms: 40 + -7 + -8t + -1t = 2 Combine like terms: 40 + -7 = 33 33 + -8t + -1t = 2 Combine like terms: -8t + -1t = -9t 33 + -9t = 2 Solving 33 + -9t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -9t = 2 + -33 Combine like terms: 33 + -33 = 0 0 + -9t = 2 + -33 -9t = 2 + -33 Combine like terms: 2 + -33 = -31 -9t = -31 Divide each side by '-9'. t = 3.444444444 Simplifying t = 3.444444444
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