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Simplifying -23 + -6n = 8(3n + 9) Reorder the terms: -23 + -6n = 8(9 + 3n) -23 + -6n = (9 * 8 + 3n * 8) -23 + -6n = (72 + 24n) Solving -23 + -6n = 72 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -23 + -6n + -24n = 72 + 24n + -24n Combine like terms: -6n + -24n = -30n -23 + -30n = 72 + 24n + -24n Combine like terms: 24n + -24n = 0 -23 + -30n = 72 + 0 -23 + -30n = 72 Add '23' to each side of the equation. -23 + 23 + -30n = 72 + 23 Combine like terms: -23 + 23 = 0 0 + -30n = 72 + 23 -30n = 72 + 23 Combine like terms: 72 + 23 = 95 -30n = 95 Divide each side by '-30'. n = -3.166666667 Simplifying n = -3.166666667
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