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Simplifying 6n + -9n + 6 = -7n + 86 + -6n Reorder the terms: 6 + 6n + -9n = -7n + 86 + -6n Combine like terms: 6n + -9n = -3n 6 + -3n = -7n + 86 + -6n Reorder the terms: 6 + -3n = 86 + -7n + -6n Combine like terms: -7n + -6n = -13n 6 + -3n = 86 + -13n Solving 6 + -3n = 86 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 6 + -3n + 13n = 86 + -13n + 13n Combine like terms: -3n + 13n = 10n 6 + 10n = 86 + -13n + 13n Combine like terms: -13n + 13n = 0 6 + 10n = 86 + 0 6 + 10n = 86 Add '-6' to each side of the equation. 6 + -6 + 10n = 86 + -6 Combine like terms: 6 + -6 = 0 0 + 10n = 86 + -6 10n = 86 + -6 Combine like terms: 86 + -6 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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