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