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Simplifying 9n + -9n = -7(1 + -9n) + 7(-11 + -6n) Combine like terms: 9n + -9n = 0 0 = -7(1 + -9n) + 7(-11 + -6n) 0 = (1 * -7 + -9n * -7) + 7(-11 + -6n) 0 = (-7 + 63n) + 7(-11 + -6n) 0 = -7 + 63n + (-11 * 7 + -6n * 7) 0 = -7 + 63n + (-77 + -42n) Reorder the terms: 0 = -7 + -77 + 63n + -42n Combine like terms: -7 + -77 = -84 0 = -84 + 63n + -42n Combine like terms: 63n + -42n = 21n 0 = -84 + 21n Solving 0 = -84 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 0 + -21n = -84 + 21n + -21n Remove the zero: -21n = -84 + 21n + -21n Combine like terms: 21n + -21n = 0 -21n = -84 + 0 -21n = -84 Divide each side by '-21'. n = 4 Simplifying n = 4
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