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Simplifying 7 + 10n + -1 = 8n + 30 + -2n Reorder the terms: 7 + -1 + 10n = 8n + 30 + -2n Combine like terms: 7 + -1 = 6 6 + 10n = 8n + 30 + -2n Reorder the terms: 6 + 10n = 30 + 8n + -2n Combine like terms: 8n + -2n = 6n 6 + 10n = 30 + 6n Solving 6 + 10n = 30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 6 + 10n + -6n = 30 + 6n + -6n Combine like terms: 10n + -6n = 4n 6 + 4n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 6 + 4n = 30 + 0 6 + 4n = 30 Add '-6' to each side of the equation. 6 + -6 + 4n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = 30 + -6 4n = 30 + -6 Combine like terms: 30 + -6 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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