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