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Simplifying 6n + -22 = 3n + 14 Reorder the terms: -22 + 6n = 3n + 14 Reorder the terms: -22 + 6n = 14 + 3n Solving -22 + 6n = 14 + 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. -22 + 6n + -3n = 14 + 3n + -3n Combine like terms: 6n + -3n = 3n -22 + 3n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 -22 + 3n = 14 + 0 -22 + 3n = 14 Add '22' to each side of the equation. -22 + 22 + 3n = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 3n = 14 + 22 3n = 14 + 22 Combine like terms: 14 + 22 = 36 3n = 36 Divide each side by '3'. n = 12 Simplifying n = 12
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