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Simplifying -6n + 21 = 12n + -14 Reorder the terms: 21 + -6n = 12n + -14 Reorder the terms: 21 + -6n = -14 + 12n Solving 21 + -6n = -14 + 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. 21 + -6n + -12n = -14 + 12n + -12n Combine like terms: -6n + -12n = -18n 21 + -18n = -14 + 12n + -12n Combine like terms: 12n + -12n = 0 21 + -18n = -14 + 0 21 + -18n = -14 Add '-21' to each side of the equation. 21 + -21 + -18n = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -18n = -14 + -21 -18n = -14 + -21 Combine like terms: -14 + -21 = -35 -18n = -35 Divide each side by '-18'. n = 1.944444444 Simplifying n = 1.944444444
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