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Simplifying 11n + 10 + -3n + 2 = 15n + 24 + -5n Reorder the terms: 10 + 2 + 11n + -3n = 15n + 24 + -5n Combine like terms: 10 + 2 = 12 12 + 11n + -3n = 15n + 24 + -5n Combine like terms: 11n + -3n = 8n 12 + 8n = 15n + 24 + -5n Reorder the terms: 12 + 8n = 24 + 15n + -5n Combine like terms: 15n + -5n = 10n 12 + 8n = 24 + 10n Solving 12 + 8n = 24 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 12 + 8n + -10n = 24 + 10n + -10n Combine like terms: 8n + -10n = -2n 12 + -2n = 24 + 10n + -10n Combine like terms: 10n + -10n = 0 12 + -2n = 24 + 0 12 + -2n = 24 Add '-12' to each side of the equation. 12 + -12 + -2n = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 24 + -12 -2n = 24 + -12 Combine like terms: 24 + -12 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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