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Simplifying 5n + 3 + n + -13 = 6 + 8n Reorder the terms: 3 + -13 + 5n + n = 6 + 8n Combine like terms: 3 + -13 = -10 -10 + 5n + n = 6 + 8n Combine like terms: 5n + n = 6n -10 + 6n = 6 + 8n Solving -10 + 6n = 6 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -10 + 6n + -8n = 6 + 8n + -8n Combine like terms: 6n + -8n = -2n -10 + -2n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -2n = 6 + 0 -10 + -2n = 6 Add '10' to each side of the equation. -10 + 10 + -2n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 6 + 10 -2n = 6 + 10 Combine like terms: 6 + 10 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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