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Simplifying 10(n + -6) = 2(10 + n) Reorder the terms: 10(-6 + n) = 2(10 + n) (-6 * 10 + n * 10) = 2(10 + n) (-60 + 10n) = 2(10 + n) -60 + 10n = (10 * 2 + n * 2) -60 + 10n = (20 + 2n) Solving -60 + 10n = 20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -60 + 10n + -2n = 20 + 2n + -2n Combine like terms: 10n + -2n = 8n -60 + 8n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 -60 + 8n = 20 + 0 -60 + 8n = 20 Add '60' to each side of the equation. -60 + 60 + 8n = 20 + 60 Combine like terms: -60 + 60 = 0 0 + 8n = 20 + 60 8n = 20 + 60 Combine like terms: 20 + 60 = 80 8n = 80 Divide each side by '8'. n = 10 Simplifying n = 10
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