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