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Simplifying 5n + 74 = 10n + 14 Reorder the terms: 74 + 5n = 10n + 14 Reorder the terms: 74 + 5n = 14 + 10n Solving 74 + 5n = 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. 74 + 5n + -10n = 14 + 10n + -10n Combine like terms: 5n + -10n = -5n 74 + -5n = 14 + 10n + -10n Combine like terms: 10n + -10n = 0 74 + -5n = 14 + 0 74 + -5n = 14 Add '-74' to each side of the equation. 74 + -74 + -5n = 14 + -74 Combine like terms: 74 + -74 = 0 0 + -5n = 14 + -74 -5n = 14 + -74 Combine like terms: 14 + -74 = -60 -5n = -60 Divide each side by '-5'. n = 12 Simplifying n = 12
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