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Simplifying 14 + -1n = -6n + 6(-5 + -1n) 14 + -1n = -6n + (-5 * 6 + -1n * 6) 14 + -1n = -6n + (-30 + -6n) Reorder the terms: 14 + -1n = -30 + -6n + -6n Combine like terms: -6n + -6n = -12n 14 + -1n = -30 + -12n Solving 14 + -1n = -30 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 14 + -1n + 12n = -30 + -12n + 12n Combine like terms: -1n + 12n = 11n 14 + 11n = -30 + -12n + 12n Combine like terms: -12n + 12n = 0 14 + 11n = -30 + 0 14 + 11n = -30 Add '-14' to each side of the equation. 14 + -14 + 11n = -30 + -14 Combine like terms: 14 + -14 = 0 0 + 11n = -30 + -14 11n = -30 + -14 Combine like terms: -30 + -14 = -44 11n = -44 Divide each side by '11'. n = -4 Simplifying n = -4
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