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Simplifying -7n + 9 + 13n = 3n + -6 + 7n Reorder the terms: 9 + -7n + 13n = 3n + -6 + 7n Combine like terms: -7n + 13n = 6n 9 + 6n = 3n + -6 + 7n Reorder the terms: 9 + 6n = -6 + 3n + 7n Combine like terms: 3n + 7n = 10n 9 + 6n = -6 + 10n Solving 9 + 6n = -6 + 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. 9 + 6n + -10n = -6 + 10n + -10n Combine like terms: 6n + -10n = -4n 9 + -4n = -6 + 10n + -10n Combine like terms: 10n + -10n = 0 9 + -4n = -6 + 0 9 + -4n = -6 Add '-9' to each side of the equation. 9 + -9 + -4n = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = -6 + -9 -4n = -6 + -9 Combine like terms: -6 + -9 = -15 -4n = -15 Divide each side by '-4'. n = 3.75 Simplifying n = 3.75
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