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Simplifying 4n + -6 = 9n + 19 Reorder the terms: -6 + 4n = 9n + 19 Reorder the terms: -6 + 4n = 19 + 9n Solving -6 + 4n = 19 + 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 = 19 + 9n + -9n Combine like terms: 4n + -9n = -5n -6 + -5n = 19 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -5n = 19 + 0 -6 + -5n = 19 Add '6' to each side of the equation. -6 + 6 + -5n = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = 19 + 6 -5n = 19 + 6 Combine like terms: 19 + 6 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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