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Simplifying 5 + 6n = 21 + -2n Solving 5 + 6n = 21 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 5 + 6n + 2n = 21 + -2n + 2n Combine like terms: 6n + 2n = 8n 5 + 8n = 21 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + 8n = 21 + 0 5 + 8n = 21 Add '-5' to each side of the equation. 5 + -5 + 8n = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = 21 + -5 8n = 21 + -5 Combine like terms: 21 + -5 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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