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Simplifying -5n + 7 + 8n = 7n + -8n + -9 Reorder the terms: 7 + -5n + 8n = 7n + -8n + -9 Combine like terms: -5n + 8n = 3n 7 + 3n = 7n + -8n + -9 Reorder the terms: 7 + 3n = -9 + 7n + -8n Combine like terms: 7n + -8n = -1n 7 + 3n = -9 + -1n Solving 7 + 3n = -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. 7 + 3n + n = -9 + -1n + n Combine like terms: 3n + n = 4n 7 + 4n = -9 + -1n + n Combine like terms: -1n + n = 0 7 + 4n = -9 + 0 7 + 4n = -9 Add '-7' to each side of the equation. 7 + -7 + 4n = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = -9 + -7 4n = -9 + -7 Combine like terms: -9 + -7 = -16 4n = -16 Divide each side by '4'. n = -4 Simplifying n = -4
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