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Simplifying 5(2n + -4) = 2(n + 6) Reorder the terms: 5(-4 + 2n) = 2(n + 6) (-4 * 5 + 2n * 5) = 2(n + 6) (-20 + 10n) = 2(n + 6) Reorder the terms: -20 + 10n = 2(6 + n) -20 + 10n = (6 * 2 + n * 2) -20 + 10n = (12 + 2n) Solving -20 + 10n = 12 + 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. -20 + 10n + -2n = 12 + 2n + -2n Combine like terms: 10n + -2n = 8n -20 + 8n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + 8n = 12 + 0 -20 + 8n = 12 Add '20' to each side of the equation. -20 + 20 + 8n = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = 12 + 20 8n = 12 + 20 Combine like terms: 12 + 20 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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