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Simplifying 3n + -13 = 8n + 7 Reorder the terms: -13 + 3n = 8n + 7 Reorder the terms: -13 + 3n = 7 + 8n Solving -13 + 3n = 7 + 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. -13 + 3n + -8n = 7 + 8n + -8n Combine like terms: 3n + -8n = -5n -13 + -5n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -13 + -5n = 7 + 0 -13 + -5n = 7 Add '13' to each side of the equation. -13 + 13 + -5n = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -5n = 7 + 13 -5n = 7 + 13 Combine like terms: 7 + 13 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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