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Simplifying 15n + -10 = 8n + 32 Reorder the terms: -10 + 15n = 8n + 32 Reorder the terms: -10 + 15n = 32 + 8n Solving -10 + 15n = 32 + 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 + 15n + -8n = 32 + 8n + -8n Combine like terms: 15n + -8n = 7n -10 + 7n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + 7n = 32 + 0 -10 + 7n = 32 Add '10' to each side of the equation. -10 + 10 + 7n = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 7n = 32 + 10 7n = 32 + 10 Combine like terms: 32 + 10 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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