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Simplifying 14 + 7n + -7n = 3n + 4n Combine like terms: 7n + -7n = 0 14 + 0 = 3n + 4n 14 = 3n + 4n Combine like terms: 3n + 4n = 7n 14 = 7n Solving 14 = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 14 + -7n = 7n + -7n Combine like terms: 7n + -7n = 0 14 + -7n = 0 Add '-14' to each side of the equation. 14 + -14 + -7n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7n = 0 + -14 -7n = 0 + -14 Combine like terms: 0 + -14 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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