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Simplifying -8n + 1 = n + -4 + -8n Reorder the terms: 1 + -8n = n + -4 + -8n Reorder the terms: 1 + -8n = -4 + n + -8n Combine like terms: n + -8n = -7n 1 + -8n = -4 + -7n Solving 1 + -8n = -4 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 1 + -8n + 7n = -4 + -7n + 7n Combine like terms: -8n + 7n = -1n 1 + -1n = -4 + -7n + 7n Combine like terms: -7n + 7n = 0 1 + -1n = -4 + 0 1 + -1n = -4 Add '-1' to each side of the equation. 1 + -1 + -1n = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = -4 + -1 -1n = -4 + -1 Combine like terms: -4 + -1 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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