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Simplifying 12n + 154 = 30 + -5(4 + -6n) Reorder the terms: 154 + 12n = 30 + -5(4 + -6n) 154 + 12n = 30 + (4 * -5 + -6n * -5) 154 + 12n = 30 + (-20 + 30n) Combine like terms: 30 + -20 = 10 154 + 12n = 10 + 30n Solving 154 + 12n = 10 + 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. 154 + 12n + -30n = 10 + 30n + -30n Combine like terms: 12n + -30n = -18n 154 + -18n = 10 + 30n + -30n Combine like terms: 30n + -30n = 0 154 + -18n = 10 + 0 154 + -18n = 10 Add '-154' to each side of the equation. 154 + -154 + -18n = 10 + -154 Combine like terms: 154 + -154 = 0 0 + -18n = 10 + -154 -18n = 10 + -154 Combine like terms: 10 + -154 = -144 -18n = -144 Divide each side by '-18'. n = 8 Simplifying n = 8
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