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Simplifying -8(t + -6) + -1(t + 7) = 2 Reorder the terms: -8(-6 + t) + -1(t + 7) = 2 (-6 * -8 + t * -8) + -1(t + 7) = 2 (48 + -8t) + -1(t + 7) = 2 Reorder the terms: 48 + -8t + -1(7 + t) = 2 48 + -8t + (7 * -1 + t * -1) = 2 48 + -8t + (-7 + -1t) = 2 Reorder the terms: 48 + -7 + -8t + -1t = 2 Combine like terms: 48 + -7 = 41 41 + -8t + -1t = 2 Combine like terms: -8t + -1t = -9t 41 + -9t = 2 Solving 41 + -9t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -9t = 2 + -41 Combine like terms: 41 + -41 = 0 0 + -9t = 2 + -41 -9t = 2 + -41 Combine like terms: 2 + -41 = -39 -9t = -39 Divide each side by '-9'. t = 4.333333333 Simplifying t = 4.333333333
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