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Simplifying 4 + 9n + -2 = 7n + 16 + -5n Reorder the terms: 4 + -2 + 9n = 7n + 16 + -5n Combine like terms: 4 + -2 = 2 2 + 9n = 7n + 16 + -5n Reorder the terms: 2 + 9n = 16 + 7n + -5n Combine like terms: 7n + -5n = 2n 2 + 9n = 16 + 2n Solving 2 + 9n = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 9n + -2n = 16 + 2n + -2n Combine like terms: 9n + -2n = 7n 2 + 7n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 7n = 16 + 0 2 + 7n = 16 Add '-2' to each side of the equation. 2 + -2 + 7n = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7n = 16 + -2 7n = 16 + -2 Combine like terms: 16 + -2 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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