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