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Simplifying 6n + 12 = 10n + -8 Reorder the terms: 12 + 6n = 10n + -8 Reorder the terms: 12 + 6n = -8 + 10n Solving 12 + 6n = -8 + 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 + 6n + -10n = -8 + 10n + -10n Combine like terms: 6n + -10n = -4n 12 + -4n = -8 + 10n + -10n Combine like terms: 10n + -10n = 0 12 + -4n = -8 + 0 12 + -4n = -8 Add '-12' to each side of the equation. 12 + -12 + -4n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = -8 + -12 -4n = -8 + -12 Combine like terms: -8 + -12 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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