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Simplifying 6n + 8 = 2.5(12n + 16) Reorder the terms: 8 + 6n = 2.5(12n + 16) Reorder the terms: 8 + 6n = 2.5(16 + 12n) 8 + 6n = (16 * 2.5 + 12n * 2.5) 8 + 6n = (40 + 30n) Solving 8 + 6n = 40 + 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 + 6n + -30n = 40 + 30n + -30n Combine like terms: 6n + -30n = -24n 8 + -24n = 40 + 30n + -30n Combine like terms: 30n + -30n = 0 8 + -24n = 40 + 0 8 + -24n = 40 Add '-8' to each side of the equation. 8 + -8 + -24n = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -24n = 40 + -8 -24n = 40 + -8 Combine like terms: 40 + -8 = 32 -24n = 32 Divide each side by '-24'. n = -1.333333333 Simplifying n = -1.333333333
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