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Simplifying 3n + 6 + -7n = 33 + -12n + 21 Reorder the terms: 6 + 3n + -7n = 33 + -12n + 21 Combine like terms: 3n + -7n = -4n 6 + -4n = 33 + -12n + 21 Reorder the terms: 6 + -4n = 33 + 21 + -12n Combine like terms: 33 + 21 = 54 6 + -4n = 54 + -12n Solving 6 + -4n = 54 + -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. 6 + -4n + 12n = 54 + -12n + 12n Combine like terms: -4n + 12n = 8n 6 + 8n = 54 + -12n + 12n Combine like terms: -12n + 12n = 0 6 + 8n = 54 + 0 6 + 8n = 54 Add '-6' to each side of the equation. 6 + -6 + 8n = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 8n = 54 + -6 8n = 54 + -6 Combine like terms: 54 + -6 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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