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