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Simplifying -12n + 12(4n + -4) = 6(1 + 5n) Reorder the terms: -12n + 12(-4 + 4n) = 6(1 + 5n) -12n + (-4 * 12 + 4n * 12) = 6(1 + 5n) -12n + (-48 + 48n) = 6(1 + 5n) Reorder the terms: -48 + -12n + 48n = 6(1 + 5n) Combine like terms: -12n + 48n = 36n -48 + 36n = 6(1 + 5n) -48 + 36n = (1 * 6 + 5n * 6) -48 + 36n = (6 + 30n) Solving -48 + 36n = 6 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -48 + 36n + -30n = 6 + 30n + -30n Combine like terms: 36n + -30n = 6n -48 + 6n = 6 + 30n + -30n Combine like terms: 30n + -30n = 0 -48 + 6n = 6 + 0 -48 + 6n = 6 Add '48' to each side of the equation. -48 + 48 + 6n = 6 + 48 Combine like terms: -48 + 48 = 0 0 + 6n = 6 + 48 6n = 6 + 48 Combine like terms: 6 + 48 = 54 6n = 54 Divide each side by '6'. n = 9 Simplifying n = 9
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