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Simplifying 10n + 12 = 14n + -12 Reorder the terms: 12 + 10n = 14n + -12 Reorder the terms: 12 + 10n = -12 + 14n Solving 12 + 10n = -12 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 12 + 10n + -14n = -12 + 14n + -14n Combine like terms: 10n + -14n = -4n 12 + -4n = -12 + 14n + -14n Combine like terms: 14n + -14n = 0 12 + -4n = -12 + 0 12 + -4n = -12 Add '-12' to each side of the equation. 12 + -12 + -4n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = -12 + -12 -4n = -12 + -12 Combine like terms: -12 + -12 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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