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Simplifying n * 6 + 18 = n * 8 + -12 Reorder the terms for easier multiplication: 6n + 18 = n * 8 + -12 Reorder the terms: 18 + 6n = n * 8 + -12 Reorder the terms for easier multiplication: 18 + 6n = 8n + -12 Reorder the terms: 18 + 6n = -12 + 8n Solving 18 + 6n = -12 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 18 + 6n + -8n = -12 + 8n + -8n Combine like terms: 6n + -8n = -2n 18 + -2n = -12 + 8n + -8n Combine like terms: 8n + -8n = 0 18 + -2n = -12 + 0 18 + -2n = -12 Add '-18' to each side of the equation. 18 + -18 + -2n = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -2n = -12 + -18 -2n = -12 + -18 Combine like terms: -12 + -18 = -30 -2n = -30 Divide each side by '-2'. n = 15 Simplifying n = 15
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