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Simplifying 5(10 + 11n) = -7(2 + -9n) (10 * 5 + 11n * 5) = -7(2 + -9n) (50 + 55n) = -7(2 + -9n) 50 + 55n = (2 * -7 + -9n * -7) 50 + 55n = (-14 + 63n) Solving 50 + 55n = -14 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 50 + 55n + -63n = -14 + 63n + -63n Combine like terms: 55n + -63n = -8n 50 + -8n = -14 + 63n + -63n Combine like terms: 63n + -63n = 0 50 + -8n = -14 + 0 50 + -8n = -14 Add '-50' to each side of the equation. 50 + -50 + -8n = -14 + -50 Combine like terms: 50 + -50 = 0 0 + -8n = -14 + -50 -8n = -14 + -50 Combine like terms: -14 + -50 = -64 -8n = -64 Divide each side by '-8'. n = 8 Simplifying n = 8
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