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Simplifying 8n + 10 = 7n + 3n Reorder the terms: 10 + 8n = 7n + 3n Combine like terms: 7n + 3n = 10n 10 + 8n = 10n Solving 10 + 8n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 10 + 8n + -10n = 10n + -10n Combine like terms: 8n + -10n = -2n 10 + -2n = 10n + -10n Combine like terms: 10n + -10n = 0 10 + -2n = 0 Add '-10' to each side of the equation. 10 + -10 + -2n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 0 + -10 -2n = 0 + -10 Combine like terms: 0 + -10 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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