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Simplifying 1n + 81 = 9n + -7 Reorder the terms: 81 + 1n = 9n + -7 Reorder the terms: 81 + 1n = -7 + 9n Solving 81 + 1n = -7 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 81 + 1n + -9n = -7 + 9n + -9n Combine like terms: 1n + -9n = -8n 81 + -8n = -7 + 9n + -9n Combine like terms: 9n + -9n = 0 81 + -8n = -7 + 0 81 + -8n = -7 Add '-81' to each side of the equation. 81 + -81 + -8n = -7 + -81 Combine like terms: 81 + -81 = 0 0 + -8n = -7 + -81 -8n = -7 + -81 Combine like terms: -7 + -81 = -88 -8n = -88 Divide each side by '-8'. n = 11 Simplifying n = 11
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