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Simplifying 12n + -2 = 10n + -12 Reorder the terms: -2 + 12n = 10n + -12 Reorder the terms: -2 + 12n = -12 + 10n Solving -2 + 12n = -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. -2 + 12n + -10n = -12 + 10n + -10n Combine like terms: 12n + -10n = 2n -2 + 2n = -12 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + 2n = -12 + 0 -2 + 2n = -12 Add '2' to each side of the equation. -2 + 2 + 2n = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = -12 + 2 2n = -12 + 2 Combine like terms: -12 + 2 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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