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Simplifying -2(1 + -4n) + 2(-5 + n) = 28 (1 * -2 + -4n * -2) + 2(-5 + n) = 28 (-2 + 8n) + 2(-5 + n) = 28 -2 + 8n + (-5 * 2 + n * 2) = 28 -2 + 8n + (-10 + 2n) = 28 Reorder the terms: -2 + -10 + 8n + 2n = 28 Combine like terms: -2 + -10 = -12 -12 + 8n + 2n = 28 Combine like terms: 8n + 2n = 10n -12 + 10n = 28 Solving -12 + 10n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10n = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 10n = 28 + 12 10n = 28 + 12 Combine like terms: 28 + 12 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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