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Simplifying 5 + -8n + 7 = 2 + 8n + -6n Reorder the terms: 5 + 7 + -8n = 2 + 8n + -6n Combine like terms: 5 + 7 = 12 12 + -8n = 2 + 8n + -6n Combine like terms: 8n + -6n = 2n 12 + -8n = 2 + 2n Solving 12 + -8n = 2 + 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 = 2 + 2n + -2n Combine like terms: -8n + -2n = -10n 12 + -10n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + -10n = 2 + 0 12 + -10n = 2 Add '-12' to each side of the equation. 12 + -12 + -10n = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = 2 + -12 -10n = 2 + -12 Combine like terms: 2 + -12 = -10 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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