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Simplifying -6n + 2(n + -5) = -1(-11n + 10) Reorder the terms: -6n + 2(-5 + n) = -1(-11n + 10) -6n + (-5 * 2 + n * 2) = -1(-11n + 10) -6n + (-10 + 2n) = -1(-11n + 10) Reorder the terms: -10 + -6n + 2n = -1(-11n + 10) Combine like terms: -6n + 2n = -4n -10 + -4n = -1(-11n + 10) Reorder the terms: -10 + -4n = -1(10 + -11n) -10 + -4n = (10 * -1 + -11n * -1) -10 + -4n = (-10 + 11n) Add '10' to each side of the equation. -10 + 10 + -4n = -10 + 10 + 11n Combine like terms: -10 + 10 = 0 0 + -4n = -10 + 10 + 11n -4n = -10 + 10 + 11n Combine like terms: -10 + 10 = 0 -4n = 0 + 11n -4n = 11n Solving -4n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -4n + -11n = 11n + -11n Combine like terms: -4n + -11n = -15n -15n = 11n + -11n Combine like terms: 11n + -11n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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