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Simplifying 2(4n + -2) = 36 + -2n Reorder the terms: 2(-2 + 4n) = 36 + -2n (-2 * 2 + 4n * 2) = 36 + -2n (-4 + 8n) = 36 + -2n Solving -4 + 8n = 36 + -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. -4 + 8n + 2n = 36 + -2n + 2n Combine like terms: 8n + 2n = 10n -4 + 10n = 36 + -2n + 2n Combine like terms: -2n + 2n = 0 -4 + 10n = 36 + 0 -4 + 10n = 36 Add '4' to each side of the equation. -4 + 4 + 10n = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 10n = 36 + 4 10n = 36 + 4 Combine like terms: 36 + 4 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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