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Simplifying 14n + 38 = 10n + 90 Reorder the terms: 38 + 14n = 10n + 90 Reorder the terms: 38 + 14n = 90 + 10n Solving 38 + 14n = 90 + 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. 38 + 14n + -10n = 90 + 10n + -10n Combine like terms: 14n + -10n = 4n 38 + 4n = 90 + 10n + -10n Combine like terms: 10n + -10n = 0 38 + 4n = 90 + 0 38 + 4n = 90 Add '-38' to each side of the equation. 38 + -38 + 4n = 90 + -38 Combine like terms: 38 + -38 = 0 0 + 4n = 90 + -38 4n = 90 + -38 Combine like terms: 90 + -38 = 52 4n = 52 Divide each side by '4'. n = 13 Simplifying n = 13
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