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