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Simplifying 10 + -6n + -11 = 8n + 23 + -6n Reorder the terms: 10 + -11 + -6n = 8n + 23 + -6n Combine like terms: 10 + -11 = -1 -1 + -6n = 8n + 23 + -6n Reorder the terms: -1 + -6n = 23 + 8n + -6n Combine like terms: 8n + -6n = 2n -1 + -6n = 23 + 2n Solving -1 + -6n = 23 + 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. -1 + -6n + -2n = 23 + 2n + -2n Combine like terms: -6n + -2n = -8n -1 + -8n = 23 + 2n + -2n Combine like terms: 2n + -2n = 0 -1 + -8n = 23 + 0 -1 + -8n = 23 Add '1' to each side of the equation. -1 + 1 + -8n = 23 + 1 Combine like terms: -1 + 1 = 0 0 + -8n = 23 + 1 -8n = 23 + 1 Combine like terms: 23 + 1 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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