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Simplifying -9(t + -2) + -1(t + 7) = 3 Reorder the terms: -9(-2 + t) + -1(t + 7) = 3 (-2 * -9 + t * -9) + -1(t + 7) = 3 (18 + -9t) + -1(t + 7) = 3 Reorder the terms: 18 + -9t + -1(7 + t) = 3 18 + -9t + (7 * -1 + t * -1) = 3 18 + -9t + (-7 + -1t) = 3 Reorder the terms: 18 + -7 + -9t + -1t = 3 Combine like terms: 18 + -7 = 11 11 + -9t + -1t = 3 Combine like terms: -9t + -1t = -10t 11 + -10t = 3 Solving 11 + -10t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10t = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -10t = 3 + -11 -10t = 3 + -11 Combine like terms: 3 + -11 = -8 -10t = -8 Divide each side by '-10'. t = 0.8 Simplifying t = 0.8
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