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Simplifying -5(t + -9) + -2(2t + -1) = -11 Reorder the terms: -5(-9 + t) + -2(2t + -1) = -11 (-9 * -5 + t * -5) + -2(2t + -1) = -11 (45 + -5t) + -2(2t + -1) = -11 Reorder the terms: 45 + -5t + -2(-1 + 2t) = -11 45 + -5t + (-1 * -2 + 2t * -2) = -11 45 + -5t + (2 + -4t) = -11 Reorder the terms: 45 + 2 + -5t + -4t = -11 Combine like terms: 45 + 2 = 47 47 + -5t + -4t = -11 Combine like terms: -5t + -4t = -9t 47 + -9t = -11 Solving 47 + -9t = -11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -9t = -11 + -47 Combine like terms: 47 + -47 = 0 0 + -9t = -11 + -47 -9t = -11 + -47 Combine like terms: -11 + -47 = -58 -9t = -58 Divide each side by '-9'. t = 6.444444444 Simplifying t = 6.444444444
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