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Simplifying 4n + (n + 2) = 12(n + 4) Reorder the terms: 4n + (2 + n) = 12(n + 4) Remove parenthesis around (2 + n) 4n + 2 + n = 12(n + 4) Reorder the terms: 2 + 4n + n = 12(n + 4) Combine like terms: 4n + n = 5n 2 + 5n = 12(n + 4) Reorder the terms: 2 + 5n = 12(4 + n) 2 + 5n = (4 * 12 + n * 12) 2 + 5n = (48 + 12n) Solving 2 + 5n = 48 + 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. 2 + 5n + -12n = 48 + 12n + -12n Combine like terms: 5n + -12n = -7n 2 + -7n = 48 + 12n + -12n Combine like terms: 12n + -12n = 0 2 + -7n = 48 + 0 2 + -7n = 48 Add '-2' to each side of the equation. 2 + -2 + -7n = 48 + -2 Combine like terms: 2 + -2 = 0 0 + -7n = 48 + -2 -7n = 48 + -2 Combine like terms: 48 + -2 = 46 -7n = 46 Divide each side by '-7'. n = -6.571428571 Simplifying n = -6.571428571
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