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Simplifying 13n + -5 = 10n + 7 Reorder the terms: -5 + 13n = 10n + 7 Reorder the terms: -5 + 13n = 7 + 10n Solving -5 + 13n = 7 + 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. -5 + 13n + -10n = 7 + 10n + -10n Combine like terms: 13n + -10n = 3n -5 + 3n = 7 + 10n + -10n Combine like terms: 10n + -10n = 0 -5 + 3n = 7 + 0 -5 + 3n = 7 Add '5' to each side of the equation. -5 + 5 + 3n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 7 + 5 3n = 7 + 5 Combine like terms: 7 + 5 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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