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Simplifying 4(n + 2) + 12 = (n + 9) Reorder the terms: 4(2 + n) + 12 = (n + 9) (2 * 4 + n * 4) + 12 = (n + 9) (8 + 4n) + 12 = (n + 9) Reorder the terms: 8 + 12 + 4n = (n + 9) Combine like terms: 8 + 12 = 20 20 + 4n = (n + 9) Reorder the terms: 20 + 4n = (9 + n) Remove parenthesis around (9 + n) 20 + 4n = 9 + n Solving 20 + 4n = 9 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 20 + 4n + -1n = 9 + n + -1n Combine like terms: 4n + -1n = 3n 20 + 3n = 9 + n + -1n Combine like terms: n + -1n = 0 20 + 3n = 9 + 0 20 + 3n = 9 Add '-20' to each side of the equation. 20 + -20 + 3n = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 3n = 9 + -20 3n = 9 + -20 Combine like terms: 9 + -20 = -11 3n = -11 Divide each side by '3'. n = -3.666666667 Simplifying n = -3.666666667
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