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Simplifying 1 + 8n = -4n + 6 + -7 + -10 Reorder the terms: 1 + 8n = 6 + -7 + -10 + -4n Combine like terms: 6 + -7 = -1 1 + 8n = -1 + -10 + -4n Combine like terms: -1 + -10 = -11 1 + 8n = -11 + -4n Solving 1 + 8n = -11 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 1 + 8n + 4n = -11 + -4n + 4n Combine like terms: 8n + 4n = 12n 1 + 12n = -11 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + 12n = -11 + 0 1 + 12n = -11 Add '-1' to each side of the equation. 1 + -1 + 12n = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 12n = -11 + -1 12n = -11 + -1 Combine like terms: -11 + -1 = -12 12n = -12 Divide each side by '12'. n = -1 Simplifying n = -1
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