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Simplifying 2n + 194 = 12n + -6 Reorder the terms: 194 + 2n = 12n + -6 Reorder the terms: 194 + 2n = -6 + 12n Solving 194 + 2n = -6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 194 + 2n + -12n = -6 + 12n + -12n Combine like terms: 2n + -12n = -10n 194 + -10n = -6 + 12n + -12n Combine like terms: 12n + -12n = 0 194 + -10n = -6 + 0 194 + -10n = -6 Add '-194' to each side of the equation. 194 + -194 + -10n = -6 + -194 Combine like terms: 194 + -194 = 0 0 + -10n = -6 + -194 -10n = -6 + -194 Combine like terms: -6 + -194 = -200 -10n = -200 Divide each side by '-10'. n = 20 Simplifying n = 20
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