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