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Simplifying -2(8 + -5n) = -4(1 + -2n) (8 * -2 + -5n * -2) = -4(1 + -2n) (-16 + 10n) = -4(1 + -2n) -16 + 10n = (1 * -4 + -2n * -4) -16 + 10n = (-4 + 8n) Solving -16 + 10n = -4 + 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. -16 + 10n + -8n = -4 + 8n + -8n Combine like terms: 10n + -8n = 2n -16 + 2n = -4 + 8n + -8n Combine like terms: 8n + -8n = 0 -16 + 2n = -4 + 0 -16 + 2n = -4 Add '16' to each side of the equation. -16 + 16 + 2n = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 2n = -4 + 16 2n = -4 + 16 Combine like terms: -4 + 16 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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