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Simplifying 6n + 21 = 12n + -15 Reorder the terms: 21 + 6n = 12n + -15 Reorder the terms: 21 + 6n = -15 + 12n Solving 21 + 6n = -15 + 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 = -15 + 12n + -12n Combine like terms: 6n + -12n = -6n 21 + -6n = -15 + 12n + -12n Combine like terms: 12n + -12n = 0 21 + -6n = -15 + 0 21 + -6n = -15 Add '-21' to each side of the equation. 21 + -21 + -6n = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -6n = -15 + -21 -6n = -15 + -21 Combine like terms: -15 + -21 = -36 -6n = -36 Divide each side by '-6'. n = 6 Simplifying n = 6
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