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Simplifying 8n + -2 = 10n + -14 Reorder the terms: -2 + 8n = 10n + -14 Reorder the terms: -2 + 8n = -14 + 10n Solving -2 + 8n = -14 + 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. -2 + 8n + -10n = -14 + 10n + -10n Combine like terms: 8n + -10n = -2n -2 + -2n = -14 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + -2n = -14 + 0 -2 + -2n = -14 Add '2' to each side of the equation. -2 + 2 + -2n = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = -14 + 2 -2n = -14 + 2 Combine like terms: -14 + 2 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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