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Simplifying 7n + 34 = 15n + -86 Reorder the terms: 34 + 7n = 15n + -86 Reorder the terms: 34 + 7n = -86 + 15n Solving 34 + 7n = -86 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 34 + 7n + -15n = -86 + 15n + -15n Combine like terms: 7n + -15n = -8n 34 + -8n = -86 + 15n + -15n Combine like terms: 15n + -15n = 0 34 + -8n = -86 + 0 34 + -8n = -86 Add '-34' to each side of the equation. 34 + -34 + -8n = -86 + -34 Combine like terms: 34 + -34 = 0 0 + -8n = -86 + -34 -8n = -86 + -34 Combine like terms: -86 + -34 = -120 -8n = -120 Divide each side by '-8'. n = 15 Simplifying n = 15
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