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Simplifying 5n + -12 = 8 + -5n Reorder the terms: -12 + 5n = 8 + -5n Solving -12 + 5n = 8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -12 + 5n + 5n = 8 + -5n + 5n Combine like terms: 5n + 5n = 10n -12 + 10n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 -12 + 10n = 8 + 0 -12 + 10n = 8 Add '12' to each side of the equation. -12 + 12 + 10n = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10n = 8 + 12 10n = 8 + 12 Combine like terms: 8 + 12 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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