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Simplifying 3n + 14 + n = 7n + -4 Reorder the terms: 14 + 3n + n = 7n + -4 Combine like terms: 3n + n = 4n 14 + 4n = 7n + -4 Reorder the terms: 14 + 4n = -4 + 7n Solving 14 + 4n = -4 + 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 + 4n + -7n = -4 + 7n + -7n Combine like terms: 4n + -7n = -3n 14 + -3n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 14 + -3n = -4 + 0 14 + -3n = -4 Add '-14' to each side of the equation. 14 + -14 + -3n = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = -4 + -14 -3n = -4 + -14 Combine like terms: -4 + -14 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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