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Simplifying -11(t + -3) + -1(t + 7) = 9 Reorder the terms: -11(-3 + t) + -1(t + 7) = 9 (-3 * -11 + t * -11) + -1(t + 7) = 9 (33 + -11t) + -1(t + 7) = 9 Reorder the terms: 33 + -11t + -1(7 + t) = 9 33 + -11t + (7 * -1 + t * -1) = 9 33 + -11t + (-7 + -1t) = 9 Reorder the terms: 33 + -7 + -11t + -1t = 9 Combine like terms: 33 + -7 = 26 26 + -11t + -1t = 9 Combine like terms: -11t + -1t = -12t 26 + -12t = 9 Solving 26 + -12t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -12t = 9 + -26 Combine like terms: 26 + -26 = 0 0 + -12t = 9 + -26 -12t = 9 + -26 Combine like terms: 9 + -26 = -17 -12t = -17 Divide each side by '-12'. t = 1.416666667 Simplifying t = 1.416666667
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