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Simplifying -5n + 9 + 7n = 7n + -8n + -9 Reorder the terms: 9 + -5n + 7n = 7n + -8n + -9 Combine like terms: -5n + 7n = 2n 9 + 2n = 7n + -8n + -9 Reorder the terms: 9 + 2n = -9 + 7n + -8n Combine like terms: 7n + -8n = -1n 9 + 2n = -9 + -1n Solving 9 + 2n = -9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 9 + 2n + n = -9 + -1n + n Combine like terms: 2n + n = 3n 9 + 3n = -9 + -1n + n Combine like terms: -1n + n = 0 9 + 3n = -9 + 0 9 + 3n = -9 Add '-9' to each side of the equation. 9 + -9 + 3n = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = -9 + -9 3n = -9 + -9 Combine like terms: -9 + -9 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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