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Simplifying -6n + 21 = 12n + -15n Reorder the terms: 21 + -6n = 12n + -15n Combine like terms: 12n + -15n = -3n 21 + -6n = -3n Solving 21 + -6n = -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 + -6n + 3n = -3n + 3n Combine like terms: -6n + 3n = -3n 21 + -3n = -3n + 3n Combine like terms: -3n + 3n = 0 21 + -3n = 0 Add '-21' to each side of the equation. 21 + -21 + -3n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3n = 0 + -21 -3n = 0 + -21 Combine like terms: 0 + -21 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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