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Simplifying 5(3n + -4) = (3n + 8) + 9 Reorder the terms: 5(-4 + 3n) = (3n + 8) + 9 (-4 * 5 + 3n * 5) = (3n + 8) + 9 (-20 + 15n) = (3n + 8) + 9 Reorder the terms: -20 + 15n = (8 + 3n) + 9 Remove parenthesis around (8 + 3n) -20 + 15n = 8 + 3n + 9 Reorder the terms: -20 + 15n = 8 + 9 + 3n Combine like terms: 8 + 9 = 17 -20 + 15n = 17 + 3n Solving -20 + 15n = 17 + 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. -20 + 15n + -3n = 17 + 3n + -3n Combine like terms: 15n + -3n = 12n -20 + 12n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 -20 + 12n = 17 + 0 -20 + 12n = 17 Add '20' to each side of the equation. -20 + 20 + 12n = 17 + 20 Combine like terms: -20 + 20 = 0 0 + 12n = 17 + 20 12n = 17 + 20 Combine like terms: 17 + 20 = 37 12n = 37 Divide each side by '12'. n = 3.083333333 Simplifying n = 3.083333333
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