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Simplifying 12n + -19 = 3n + 17 Reorder the terms: -19 + 12n = 3n + 17 Reorder the terms: -19 + 12n = 17 + 3n Solving -19 + 12n = 17 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -19 + 12n + -3n = 17 + 3n + -3n Combine like terms: 12n + -3n = 9n -19 + 9n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 -19 + 9n = 17 + 0 -19 + 9n = 17 Add '19' to each side of the equation. -19 + 19 + 9n = 17 + 19 Combine like terms: -19 + 19 = 0 0 + 9n = 17 + 19 9n = 17 + 19 Combine like terms: 17 + 19 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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