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Simplifying 14 + n = 3(1 + 4n) 14 + n = (1 * 3 + 4n * 3) 14 + n = (3 + 12n) Solving 14 + n = 3 + 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. 14 + n + -12n = 3 + 12n + -12n Combine like terms: n + -12n = -11n 14 + -11n = 3 + 12n + -12n Combine like terms: 12n + -12n = 0 14 + -11n = 3 + 0 14 + -11n = 3 Add '-14' to each side of the equation. 14 + -14 + -11n = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -11n = 3 + -14 -11n = 3 + -14 Combine like terms: 3 + -14 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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