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Simplifying 4n + 6 = 51 + -5n Reorder the terms: 6 + 4n = 51 + -5n Solving 6 + 4n = 51 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 6 + 4n + 5n = 51 + -5n + 5n Combine like terms: 4n + 5n = 9n 6 + 9n = 51 + -5n + 5n Combine like terms: -5n + 5n = 0 6 + 9n = 51 + 0 6 + 9n = 51 Add '-6' to each side of the equation. 6 + -6 + 9n = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9n = 51 + -6 9n = 51 + -6 Combine like terms: 51 + -6 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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