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Simplifying 6n + 24 = 6(5n + -4) Reorder the terms: 24 + 6n = 6(5n + -4) Reorder the terms: 24 + 6n = 6(-4 + 5n) 24 + 6n = (-4 * 6 + 5n * 6) 24 + 6n = (-24 + 30n) Solving 24 + 6n = -24 + 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. 24 + 6n + -30n = -24 + 30n + -30n Combine like terms: 6n + -30n = -24n 24 + -24n = -24 + 30n + -30n Combine like terms: 30n + -30n = 0 24 + -24n = -24 + 0 24 + -24n = -24 Add '-24' to each side of the equation. 24 + -24 + -24n = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -24n = -24 + -24 -24n = -24 + -24 Combine like terms: -24 + -24 = -48 -24n = -48 Divide each side by '-24'. n = 2 Simplifying n = 2
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