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Simplifying -12 + 12(4n + -4) = 6(1 + 5n) Reorder the terms: -12 + 12(-4 + 4n) = 6(1 + 5n) -12 + (-4 * 12 + 4n * 12) = 6(1 + 5n) -12 + (-48 + 48n) = 6(1 + 5n) Combine like terms: -12 + -48 = -60 -60 + 48n = 6(1 + 5n) -60 + 48n = (1 * 6 + 5n * 6) -60 + 48n = (6 + 30n) Solving -60 + 48n = 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. -60 + 48n + -30n = 6 + 30n + -30n Combine like terms: 48n + -30n = 18n -60 + 18n = 6 + 30n + -30n Combine like terms: 30n + -30n = 0 -60 + 18n = 6 + 0 -60 + 18n = 6 Add '60' to each side of the equation. -60 + 60 + 18n = 6 + 60 Combine like terms: -60 + 60 = 0 0 + 18n = 6 + 60 18n = 6 + 60 Combine like terms: 6 + 60 = 66 18n = 66 Divide each side by '18'. n = 3.666666667 Simplifying n = 3.666666667
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