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Simplifying 6(4 + -2n) = 6 + -1(n + -7) (4 * 6 + -2n * 6) = 6 + -1(n + -7) (24 + -12n) = 6 + -1(n + -7) Reorder the terms: 24 + -12n = 6 + -1(-7 + n) 24 + -12n = 6 + (-7 * -1 + n * -1) 24 + -12n = 6 + (7 + -1n) Combine like terms: 6 + 7 = 13 24 + -12n = 13 + -1n Solving 24 + -12n = 13 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 24 + -12n + n = 13 + -1n + n Combine like terms: -12n + n = -11n 24 + -11n = 13 + -1n + n Combine like terms: -1n + n = 0 24 + -11n = 13 + 0 24 + -11n = 13 Add '-24' to each side of the equation. 24 + -24 + -11n = 13 + -24 Combine like terms: 24 + -24 = 0 0 + -11n = 13 + -24 -11n = 13 + -24 Combine like terms: 13 + -24 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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