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Simplifying 12n + 8 = 30n + 54 + 7 Reorder the terms: 8 + 12n = 30n + 54 + 7 Reorder the terms: 8 + 12n = 54 + 7 + 30n Combine like terms: 54 + 7 = 61 8 + 12n = 61 + 30n Solving 8 + 12n = 61 + 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. 8 + 12n + -30n = 61 + 30n + -30n Combine like terms: 12n + -30n = -18n 8 + -18n = 61 + 30n + -30n Combine like terms: 30n + -30n = 0 8 + -18n = 61 + 0 8 + -18n = 61 Add '-8' to each side of the equation. 8 + -8 + -18n = 61 + -8 Combine like terms: 8 + -8 = 0 0 + -18n = 61 + -8 -18n = 61 + -8 Combine like terms: 61 + -8 = 53 -18n = 53 Divide each side by '-18'. n = -2.944444444 Simplifying n = -2.944444444
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