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Simplifying 6n + 4 = -2n + 36 Reorder the terms: 4 + 6n = -2n + 36 Reorder the terms: 4 + 6n = 36 + -2n Solving 4 + 6n = 36 + -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. 4 + 6n + 2n = 36 + -2n + 2n Combine like terms: 6n + 2n = 8n 4 + 8n = 36 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 8n = 36 + 0 4 + 8n = 36 Add '-4' to each side of the equation. 4 + -4 + 8n = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = 36 + -4 8n = 36 + -4 Combine like terms: 36 + -4 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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