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Simplifying 12 + -7n + -14 = 8n + 18 + -5n Reorder the terms: 12 + -14 + -7n = 8n + 18 + -5n Combine like terms: 12 + -14 = -2 -2 + -7n = 8n + 18 + -5n Reorder the terms: -2 + -7n = 18 + 8n + -5n Combine like terms: 8n + -5n = 3n -2 + -7n = 18 + 3n Solving -2 + -7n = 18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -2 + -7n + -3n = 18 + 3n + -3n Combine like terms: -7n + -3n = -10n -2 + -10n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + -10n = 18 + 0 -2 + -10n = 18 Add '2' to each side of the equation. -2 + 2 + -10n = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -10n = 18 + 2 -10n = 18 + 2 Combine like terms: 18 + 2 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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