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Simplifying 7n + 6 = 3n + 22 Reorder the terms: 6 + 7n = 3n + 22 Reorder the terms: 6 + 7n = 22 + 3n Solving 6 + 7n = 22 + 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. 6 + 7n + -3n = 22 + 3n + -3n Combine like terms: 7n + -3n = 4n 6 + 4n = 22 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 4n = 22 + 0 6 + 4n = 22 Add '-6' to each side of the equation. 6 + -6 + 4n = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = 22 + -6 4n = 22 + -6 Combine like terms: 22 + -6 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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