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Simplifying 9n + 5 = 4(3n + 2) Reorder the terms: 5 + 9n = 4(3n + 2) Reorder the terms: 5 + 9n = 4(2 + 3n) 5 + 9n = (2 * 4 + 3n * 4) 5 + 9n = (8 + 12n) Solving 5 + 9n = 8 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 5 + 9n + -12n = 8 + 12n + -12n Combine like terms: 9n + -12n = -3n 5 + -3n = 8 + 12n + -12n Combine like terms: 12n + -12n = 0 5 + -3n = 8 + 0 5 + -3n = 8 Add '-5' to each side of the equation. 5 + -5 + -3n = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 8 + -5 -3n = 8 + -5 Combine like terms: 8 + -5 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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