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Simplifying -2n + 12 + 10n = 6n + -6 Reorder the terms: 12 + -2n + 10n = 6n + -6 Combine like terms: -2n + 10n = 8n 12 + 8n = 6n + -6 Reorder the terms: 12 + 8n = -6 + 6n Solving 12 + 8n = -6 + 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 = -6 + 6n + -6n Combine like terms: 8n + -6n = 2n 12 + 2n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + 2n = -6 + 0 12 + 2n = -6 Add '-12' to each side of the equation. 12 + -12 + 2n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = -6 + -12 2n = -6 + -12 Combine like terms: -6 + -12 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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