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Simplifying 14n + -10 = 3(4 + n) Reorder the terms: -10 + 14n = 3(4 + n) -10 + 14n = (4 * 3 + n * 3) -10 + 14n = (12 + 3n) Solving -10 + 14n = 12 + 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. -10 + 14n + -3n = 12 + 3n + -3n Combine like terms: 14n + -3n = 11n -10 + 11n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 11n = 12 + 0 -10 + 11n = 12 Add '10' to each side of the equation. -10 + 10 + 11n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11n = 12 + 10 11n = 12 + 10 Combine like terms: 12 + 10 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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