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Simplifying -3n + -7 = 11 + 8n + -3 + -6n Reorder the terms: -7 + -3n = 11 + 8n + -3 + -6n Reorder the terms: -7 + -3n = 11 + -3 + 8n + -6n Combine like terms: 11 + -3 = 8 -7 + -3n = 8 + 8n + -6n Combine like terms: 8n + -6n = 2n -7 + -3n = 8 + 2n Solving -7 + -3n = 8 + 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. -7 + -3n + -2n = 8 + 2n + -2n Combine like terms: -3n + -2n = -5n -7 + -5n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + -5n = 8 + 0 -7 + -5n = 8 Add '7' to each side of the equation. -7 + 7 + -5n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5n = 8 + 7 -5n = 8 + 7 Combine like terms: 8 + 7 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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