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Simplifying 2(5 + -2n) = 6(4 + 2n) (5 * 2 + -2n * 2) = 6(4 + 2n) (10 + -4n) = 6(4 + 2n) 10 + -4n = (4 * 6 + 2n * 6) 10 + -4n = (24 + 12n) Solving 10 + -4n = 24 + 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. 10 + -4n + -12n = 24 + 12n + -12n Combine like terms: -4n + -12n = -16n 10 + -16n = 24 + 12n + -12n Combine like terms: 12n + -12n = 0 10 + -16n = 24 + 0 10 + -16n = 24 Add '-10' to each side of the equation. 10 + -10 + -16n = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -16n = 24 + -10 -16n = 24 + -10 Combine like terms: 24 + -10 = 14 -16n = 14 Divide each side by '-16'. n = -0.875 Simplifying n = -0.875
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