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Simplifying 5n + -8 = 10n + 12 Reorder the terms: -8 + 5n = 10n + 12 Reorder the terms: -8 + 5n = 12 + 10n Solving -8 + 5n = 12 + 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. -8 + 5n + -10n = 12 + 10n + -10n Combine like terms: 5n + -10n = -5n -8 + -5n = 12 + 10n + -10n Combine like terms: 10n + -10n = 0 -8 + -5n = 12 + 0 -8 + -5n = 12 Add '8' to each side of the equation. -8 + 8 + -5n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5n = 12 + 8 -5n = 12 + 8 Combine like terms: 12 + 8 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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