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Simplifying -6(1 + -1n) = -11n + 5(9n + 10) (1 * -6 + -1n * -6) = -11n + 5(9n + 10) (-6 + 6n) = -11n + 5(9n + 10) Reorder the terms: -6 + 6n = -11n + 5(10 + 9n) -6 + 6n = -11n + (10 * 5 + 9n * 5) -6 + 6n = -11n + (50 + 45n) Reorder the terms: -6 + 6n = 50 + -11n + 45n Combine like terms: -11n + 45n = 34n -6 + 6n = 50 + 34n Solving -6 + 6n = 50 + 34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34n' to each side of the equation. -6 + 6n + -34n = 50 + 34n + -34n Combine like terms: 6n + -34n = -28n -6 + -28n = 50 + 34n + -34n Combine like terms: 34n + -34n = 0 -6 + -28n = 50 + 0 -6 + -28n = 50 Add '6' to each side of the equation. -6 + 6 + -28n = 50 + 6 Combine like terms: -6 + 6 = 0 0 + -28n = 50 + 6 -28n = 50 + 6 Combine like terms: 50 + 6 = 56 -28n = 56 Divide each side by '-28'. n = -2 Simplifying n = -2
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