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Simplifying -3n + -2(-8n + -3) = -14 + 3n Reorder the terms: -3n + -2(-3 + -8n) = -14 + 3n -3n + (-3 * -2 + -8n * -2) = -14 + 3n -3n + (6 + 16n) = -14 + 3n Reorder the terms: 6 + -3n + 16n = -14 + 3n Combine like terms: -3n + 16n = 13n 6 + 13n = -14 + 3n Solving 6 + 13n = -14 + 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. 6 + 13n + -3n = -14 + 3n + -3n Combine like terms: 13n + -3n = 10n 6 + 10n = -14 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 10n = -14 + 0 6 + 10n = -14 Add '-6' to each side of the equation. 6 + -6 + 10n = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 10n = -14 + -6 10n = -14 + -6 Combine like terms: -14 + -6 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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