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Simplifying 6(n) + -14 = 3(n) + 7 Reorder the terms: -14 + 6n = 3(n) + 7 Reorder the terms: -14 + 6n = 7 + 3n Solving -14 + 6n = 7 + 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. -14 + 6n + -3n = 7 + 3n + -3n Combine like terms: 6n + -3n = 3n -14 + 3n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + 3n = 7 + 0 -14 + 3n = 7 Add '14' to each side of the equation. -14 + 14 + 3n = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 3n = 7 + 14 3n = 7 + 14 Combine like terms: 7 + 14 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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