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Simplifying 12n + 2 = 10n + 6 Reorder the terms: 2 + 12n = 10n + 6 Reorder the terms: 2 + 12n = 6 + 10n Solving 2 + 12n = 6 + 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 = 6 + 10n + -10n Combine like terms: 12n + -10n = 2n 2 + 2n = 6 + 10n + -10n Combine like terms: 10n + -10n = 0 2 + 2n = 6 + 0 2 + 2n = 6 Add '-2' to each side of the equation. 2 + -2 + 2n = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 6 + -2 2n = 6 + -2 Combine like terms: 6 + -2 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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