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Simplifying -8n + 12 = 5n + -7n Reorder the terms: 12 + -8n = 5n + -7n Combine like terms: 5n + -7n = -2n 12 + -8n = -2n Solving 12 + -8n = -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. 12 + -8n + 2n = -2n + 2n Combine like terms: -8n + 2n = -6n 12 + -6n = -2n + 2n Combine like terms: -2n + 2n = 0 12 + -6n = 0 Add '-12' to each side of the equation. 12 + -12 + -6n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = 0 + -12 -6n = 0 + -12 Combine like terms: 0 + -12 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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