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Simplifying -1 + 7n = 6n + 2n + -5 Reorder the terms: -1 + 7n = -5 + 6n + 2n Combine like terms: 6n + 2n = 8n -1 + 7n = -5 + 8n Solving -1 + 7n = -5 + 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. -1 + 7n + -8n = -5 + 8n + -8n Combine like terms: 7n + -8n = -1n -1 + -1n = -5 + 8n + -8n Combine like terms: 8n + -8n = 0 -1 + -1n = -5 + 0 -1 + -1n = -5 Add '1' to each side of the equation. -1 + 1 + -1n = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = -5 + 1 -1n = -5 + 1 Combine like terms: -5 + 1 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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