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Simplifying 6n + -14 = -4(1 + -3n) + -1n Reorder the terms: -14 + 6n = -4(1 + -3n) + -1n -14 + 6n = (1 * -4 + -3n * -4) + -1n -14 + 6n = (-4 + 12n) + -1n Combine like terms: 12n + -1n = 11n -14 + 6n = -4 + 11n Solving -14 + 6n = -4 + 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. -14 + 6n + -11n = -4 + 11n + -11n Combine like terms: 6n + -11n = -5n -14 + -5n = -4 + 11n + -11n Combine like terms: 11n + -11n = 0 -14 + -5n = -4 + 0 -14 + -5n = -4 Add '14' to each side of the equation. -14 + 14 + -5n = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = -4 + 14 -5n = -4 + 14 Combine like terms: -4 + 14 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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