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Simplifying 9n + -7 = 6n + 14 Reorder the terms: -7 + 9n = 6n + 14 Reorder the terms: -7 + 9n = 14 + 6n Solving -7 + 9n = 14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -7 + 9n + -6n = 14 + 6n + -6n Combine like terms: 9n + -6n = 3n -7 + 3n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + 3n = 14 + 0 -7 + 3n = 14 Add '7' to each side of the equation. -7 + 7 + 3n = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 14 + 7 3n = 14 + 7 Combine like terms: 14 + 7 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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