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Simplifying -10n + 14 = -8n + -12 Reorder the terms: 14 + -10n = -8n + -12 Reorder the terms: 14 + -10n = -12 + -8n Solving 14 + -10n = -12 + -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. 14 + -10n + 8n = -12 + -8n + 8n Combine like terms: -10n + 8n = -2n 14 + -2n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 14 + -2n = -12 + 0 14 + -2n = -12 Add '-14' to each side of the equation. 14 + -14 + -2n = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = -12 + -14 -2n = -12 + -14 Combine like terms: -12 + -14 = -26 -2n = -26 Divide each side by '-2'. n = 13 Simplifying n = 13
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