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Simplifying 5 + 6n + -2 = 9n + 19 + -7n Reorder the terms: 5 + -2 + 6n = 9n + 19 + -7n Combine like terms: 5 + -2 = 3 3 + 6n = 9n + 19 + -7n Reorder the terms: 3 + 6n = 19 + 9n + -7n Combine like terms: 9n + -7n = 2n 3 + 6n = 19 + 2n Solving 3 + 6n = 19 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 3 + 6n + -2n = 19 + 2n + -2n Combine like terms: 6n + -2n = 4n 3 + 4n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 4n = 19 + 0 3 + 4n = 19 Add '-3' to each side of the equation. 3 + -3 + 4n = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 19 + -3 4n = 19 + -3 Combine like terms: 19 + -3 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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