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Simplifying 4n + -8n + 6 = 2n + 48 + -9n Reorder the terms: 6 + 4n + -8n = 2n + 48 + -9n Combine like terms: 4n + -8n = -4n 6 + -4n = 2n + 48 + -9n Reorder the terms: 6 + -4n = 48 + 2n + -9n Combine like terms: 2n + -9n = -7n 6 + -4n = 48 + -7n Solving 6 + -4n = 48 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 6 + -4n + 7n = 48 + -7n + 7n Combine like terms: -4n + 7n = 3n 6 + 3n = 48 + -7n + 7n Combine like terms: -7n + 7n = 0 6 + 3n = 48 + 0 6 + 3n = 48 Add '-6' to each side of the equation. 6 + -6 + 3n = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 48 + -6 3n = 48 + -6 Combine like terms: 48 + -6 = 42 3n = 42 Divide each side by '3'. n = 14 Simplifying n = 14
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