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Simplifying 10n + -3 + 15 = 8n + -8 + -6n Reorder the terms: -3 + 15 + 10n = 8n + -8 + -6n Combine like terms: -3 + 15 = 12 12 + 10n = 8n + -8 + -6n Reorder the terms: 12 + 10n = -8 + 8n + -6n Combine like terms: 8n + -6n = 2n 12 + 10n = -8 + 2n Solving 12 + 10n = -8 + 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 = -8 + 2n + -2n Combine like terms: 10n + -2n = 8n 12 + 8n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 8n = -8 + 0 12 + 8n = -8 Add '-12' to each side of the equation. 12 + -12 + 8n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 8n = -8 + -12 8n = -8 + -12 Combine like terms: -8 + -12 = -20 8n = -20 Divide each side by '8'. n = -2.5 Simplifying n = -2.5
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