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Simplifying 8n + -12 = 6n + 40 Reorder the terms: -12 + 8n = 6n + 40 Reorder the terms: -12 + 8n = 40 + 6n Solving -12 + 8n = 40 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -12 + 8n + -6n = 40 + 6n + -6n Combine like terms: 8n + -6n = 2n -12 + 2n = 40 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 2n = 40 + 0 -12 + 2n = 40 Add '12' to each side of the equation. -12 + 12 + 2n = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 40 + 12 2n = 40 + 12 Combine like terms: 40 + 12 = 52 2n = 52 Divide each side by '2'. n = 26 Simplifying n = 26
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