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Simplifying 2 + -6n = -5(4 + -1n) 2 + -6n = (4 * -5 + -1n * -5) 2 + -6n = (-20 + 5n) Solving 2 + -6n = -20 + 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. 2 + -6n + -5n = -20 + 5n + -5n Combine like terms: -6n + -5n = -11n 2 + -11n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -11n = -20 + 0 2 + -11n = -20 Add '-2' to each side of the equation. 2 + -2 + -11n = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -11n = -20 + -2 -11n = -20 + -2 Combine like terms: -20 + -2 = -22 -11n = -22 Divide each side by '-11'. n = 2 Simplifying n = 2
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