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Simplifying 12n + 3(6) = 10n + 18 Multiply 3 * 6 12n + 18 = 10n + 18 Reorder the terms: 18 + 12n = 10n + 18 Reorder the terms: 18 + 12n = 18 + 10n Add '-18' to each side of the equation. 18 + -18 + 12n = 18 + -18 + 10n Combine like terms: 18 + -18 = 0 0 + 12n = 18 + -18 + 10n 12n = 18 + -18 + 10n Combine like terms: 18 + -18 = 0 12n = 0 + 10n 12n = 10n Solving 12n = 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. 12n + -10n = 10n + -10n Combine like terms: 12n + -10n = 2n 2n = 10n + -10n Combine like terms: 10n + -10n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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