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Simplifying -2(n + 4) = 8n + 32 Reorder the terms: -2(4 + n) = 8n + 32 (4 * -2 + n * -2) = 8n + 32 (-8 + -2n) = 8n + 32 Reorder the terms: -8 + -2n = 32 + 8n Solving -8 + -2n = 32 + 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. -8 + -2n + -8n = 32 + 8n + -8n Combine like terms: -2n + -8n = -10n -8 + -10n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + -10n = 32 + 0 -8 + -10n = 32 Add '8' to each side of the equation. -8 + 8 + -10n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -10n = 32 + 8 -10n = 32 + 8 Combine like terms: 32 + 8 = 40 -10n = 40 Divide each side by '-10'. n = -4 Simplifying n = -4
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