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Simplifying -7n + 5 = 8n + -10 Reorder the terms: 5 + -7n = 8n + -10 Reorder the terms: 5 + -7n = -10 + 8n Solving 5 + -7n = -10 + 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. 5 + -7n + -8n = -10 + 8n + -8n Combine like terms: -7n + -8n = -15n 5 + -15n = -10 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + -15n = -10 + 0 5 + -15n = -10 Add '-5' to each side of the equation. 5 + -5 + -15n = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -15n = -10 + -5 -15n = -10 + -5 Combine like terms: -10 + -5 = -15 -15n = -15 Divide each side by '-15'. n = 1 Simplifying n = 1
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