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Simplifying 10n + -12 = 2n + -5 Reorder the terms: -12 + 10n = 2n + -5 Reorder the terms: -12 + 10n = -5 + 2n Solving -12 + 10n = -5 + 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 = -5 + 2n + -2n Combine like terms: 10n + -2n = 8n -12 + 8n = -5 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 8n = -5 + 0 -12 + 8n = -5 Add '12' to each side of the equation. -12 + 12 + 8n = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = -5 + 12 8n = -5 + 12 Combine like terms: -5 + 12 = 7 8n = 7 Divide each side by '8'. n = 0.875 Simplifying n = 0.875
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