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Simplifying 1 + 4n = 9n + 6 Reorder the terms: 1 + 4n = 6 + 9n Solving 1 + 4n = 6 + 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. 1 + 4n + -9n = 6 + 9n + -9n Combine like terms: 4n + -9n = -5n 1 + -5n = 6 + 9n + -9n Combine like terms: 9n + -9n = 0 1 + -5n = 6 + 0 1 + -5n = 6 Add '-1' to each side of the equation. 1 + -1 + -5n = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5n = 6 + -1 -5n = 6 + -1 Combine like terms: 6 + -1 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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