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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 = 43 43 + -5t + -4t = -11 Combine like terms: -5t + -4t = -9t 43 + -9t = -11 Solving 43 + -9t = -11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -9t = -11 + -43 Combine like terms: 43 + -43 = 0 0 + -9t = -11 + -43 -9t = -11 + -43 Combine like terms: -11 + -43 = -54 -9t = -54 Divide each side by '-9'. t = 6 Simplifying t = 6
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