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Simplifying -3(2 + -7n) = 10n + 38 (2 * -3 + -7n * -3) = 10n + 38 (-6 + 21n) = 10n + 38 Reorder the terms: -6 + 21n = 38 + 10n Solving -6 + 21n = 38 + 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. -6 + 21n + -10n = 38 + 10n + -10n Combine like terms: 21n + -10n = 11n -6 + 11n = 38 + 10n + -10n Combine like terms: 10n + -10n = 0 -6 + 11n = 38 + 0 -6 + 11n = 38 Add '6' to each side of the equation. -6 + 6 + 11n = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 11n = 38 + 6 11n = 38 + 6 Combine like terms: 38 + 6 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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