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Simplifying 9n + 6 + -2n = 16 + 10n + -4 Reorder the terms: 6 + 9n + -2n = 16 + 10n + -4 Combine like terms: 9n + -2n = 7n 6 + 7n = 16 + 10n + -4 Reorder the terms: 6 + 7n = 16 + -4 + 10n Combine like terms: 16 + -4 = 12 6 + 7n = 12 + 10n Solving 6 + 7n = 12 + 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. 6 + 7n + -10n = 12 + 10n + -10n Combine like terms: 7n + -10n = -3n 6 + -3n = 12 + 10n + -10n Combine like terms: 10n + -10n = 0 6 + -3n = 12 + 0 6 + -3n = 12 Add '-6' to each side of the equation. 6 + -6 + -3n = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = 12 + -6 -3n = 12 + -6 Combine like terms: 12 + -6 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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