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Simplifying 9 + 2n + -3 + 5n = n + 6 Reorder the terms: 9 + -3 + 2n + 5n = n + 6 Combine like terms: 9 + -3 = 6 6 + 2n + 5n = n + 6 Combine like terms: 2n + 5n = 7n 6 + 7n = n + 6 Reorder the terms: 6 + 7n = 6 + n Add '-6' to each side of the equation. 6 + -6 + 7n = 6 + -6 + n Combine like terms: 6 + -6 = 0 0 + 7n = 6 + -6 + n 7n = 6 + -6 + n Combine like terms: 6 + -6 = 0 7n = 0 + n 7n = n Solving 7n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 7n + -1n = n + -1n Combine like terms: 7n + -1n = 6n 6n = n + -1n Combine like terms: n + -1n = 0 6n = 0 Divide each side by '6'. n = 0 Simplifying n = 0
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