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Simplifying 17n + -6 = 12n + 19 Reorder the terms: -6 + 17n = 12n + 19 Reorder the terms: -6 + 17n = 19 + 12n Solving -6 + 17n = 19 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -6 + 17n + -12n = 19 + 12n + -12n Combine like terms: 17n + -12n = 5n -6 + 5n = 19 + 12n + -12n Combine like terms: 12n + -12n = 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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