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Simplifying 8(2n + -3) = (3n + 3) + 9 Reorder the terms: 8(-3 + 2n) = (3n + 3) + 9 (-3 * 8 + 2n * 8) = (3n + 3) + 9 (-24 + 16n) = (3n + 3) + 9 Reorder the terms: -24 + 16n = (3 + 3n) + 9 Remove parenthesis around (3 + 3n) -24 + 16n = 3 + 3n + 9 Reorder the terms: -24 + 16n = 3 + 9 + 3n Combine like terms: 3 + 9 = 12 -24 + 16n = 12 + 3n Solving -24 + 16n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -24 + 16n + -3n = 12 + 3n + -3n Combine like terms: 16n + -3n = 13n -24 + 13n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -24 + 13n = 12 + 0 -24 + 13n = 12 Add '24' to each side of the equation. -24 + 24 + 13n = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 13n = 12 + 24 13n = 12 + 24 Combine like terms: 12 + 24 = 36 13n = 36 Divide each side by '13'. n = 2.769230769 Simplifying n = 2.769230769
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