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Simplifying 21 + -2n = 3n + -14 Reorder the terms: 21 + -2n = -14 + 3n Solving 21 + -2n = -14 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 21 + -2n + -3n = -14 + 3n + -3n Combine like terms: -2n + -3n = -5n 21 + -5n = -14 + 3n + -3n Combine like terms: 3n + -3n = 0 21 + -5n = -14 + 0 21 + -5n = -14 Add '-21' to each side of the equation. 21 + -21 + -5n = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -5n = -14 + -21 -5n = -14 + -21 Combine like terms: -14 + -21 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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