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Simplifying -6(6 + -2n) = -4 + 8(3n + -7) (6 * -6 + -2n * -6) = -4 + 8(3n + -7) (-36 + 12n) = -4 + 8(3n + -7) Reorder the terms: -36 + 12n = -4 + 8(-7 + 3n) -36 + 12n = -4 + (-7 * 8 + 3n * 8) -36 + 12n = -4 + (-56 + 24n) Combine like terms: -4 + -56 = -60 -36 + 12n = -60 + 24n Solving -36 + 12n = -60 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -36 + 12n + -24n = -60 + 24n + -24n Combine like terms: 12n + -24n = -12n -36 + -12n = -60 + 24n + -24n Combine like terms: 24n + -24n = 0 -36 + -12n = -60 + 0 -36 + -12n = -60 Add '36' to each side of the equation. -36 + 36 + -12n = -60 + 36 Combine like terms: -36 + 36 = 0 0 + -12n = -60 + 36 -12n = -60 + 36 Combine like terms: -60 + 36 = -24 -12n = -24 Divide each side by '-12'. n = 2 Simplifying n = 2
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