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Simplifying 10n + 12 = 2n + -12 Reorder the terms: 12 + 10n = 2n + -12 Reorder the terms: 12 + 10n = -12 + 2n Solving 12 + 10n = -12 + 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. 12 + 10n + -2n = -12 + 2n + -2n Combine like terms: 10n + -2n = 8n 12 + 8n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 8n = -12 + 0 12 + 8n = -12 Add '-12' to each side of the equation. 12 + -12 + 8n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 8n = -12 + -12 8n = -12 + -12 Combine like terms: -12 + -12 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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