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Simplifying 2(n + -5) = 30 + -8n Reorder the terms: 2(-5 + n) = 30 + -8n (-5 * 2 + n * 2) = 30 + -8n (-10 + 2n) = 30 + -8n Solving -10 + 2n = 30 + -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 + 2n + 8n = 30 + -8n + 8n Combine like terms: 2n + 8n = 10n -10 + 10n = 30 + -8n + 8n Combine like terms: -8n + 8n = 0 -10 + 10n = 30 + 0 -10 + 10n = 30 Add '10' to each side of the equation. -10 + 10 + 10n = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 10n = 30 + 10 10n = 30 + 10 Combine like terms: 30 + 10 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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