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Simplifying -6 + -1n = 2n + -2(7n + 3) Reorder the terms: -6 + -1n = 2n + -2(3 + 7n) -6 + -1n = 2n + (3 * -2 + 7n * -2) -6 + -1n = 2n + (-6 + -14n) Reorder the terms: -6 + -1n = -6 + 2n + -14n Combine like terms: 2n + -14n = -12n -6 + -1n = -6 + -12n Add '6' to each side of the equation. -6 + 6 + -1n = -6 + 6 + -12n Combine like terms: -6 + 6 = 0 0 + -1n = -6 + 6 + -12n -1n = -6 + 6 + -12n Combine like terms: -6 + 6 = 0 -1n = 0 + -12n -1n = -12n Solving -1n = -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. -1n + 12n = -12n + 12n Combine like terms: -1n + 12n = 11n 11n = -12n + 12n Combine like terms: -12n + 12n = 0 11n = 0 Divide each side by '11'. n = 0 Simplifying n = 0
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