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Simplifying 5n + -2 + 3n = -6 + 11n + -1n Reorder the terms: -2 + 5n + 3n = -6 + 11n + -1n Combine like terms: 5n + 3n = 8n -2 + 8n = -6 + 11n + -1n Combine like terms: 11n + -1n = 10n -2 + 8n = -6 + 10n Solving -2 + 8n = -6 + 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. -2 + 8n + -10n = -6 + 10n + -10n Combine like terms: 8n + -10n = -2n -2 + -2n = -6 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + -2n = -6 + 0 -2 + -2n = -6 Add '2' to each side of the equation. -2 + 2 + -2n = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = -6 + 2 -2n = -6 + 2 Combine like terms: -6 + 2 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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