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Simplifying 12 + -8n = 2(1 + -5n) + -2 12 + -8n = (1 * 2 + -5n * 2) + -2 12 + -8n = (2 + -10n) + -2 Reorder the terms: 12 + -8n = 2 + -2 + -10n Combine like terms: 2 + -2 = 0 12 + -8n = 0 + -10n 12 + -8n = -10n Solving 12 + -8n = -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 12 + -8n + 10n = -10n + 10n Combine like terms: -8n + 10n = 2n 12 + 2n = -10n + 10n Combine like terms: -10n + 10n = 0 12 + 2n = 0 Add '-12' to each side of the equation. 12 + -12 + 2n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 0 + -12 2n = 0 + -12 Combine like terms: 0 + -12 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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