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Simplifying 19 + 7n = -2n + 37 Reorder the terms: 19 + 7n = 37 + -2n Solving 19 + 7n = 37 + -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. 19 + 7n + 2n = 37 + -2n + 2n Combine like terms: 7n + 2n = 9n 19 + 9n = 37 + -2n + 2n Combine like terms: -2n + 2n = 0 19 + 9n = 37 + 0 19 + 9n = 37 Add '-19' to each side of the equation. 19 + -19 + 9n = 37 + -19 Combine like terms: 19 + -19 = 0 0 + 9n = 37 + -19 9n = 37 + -19 Combine like terms: 37 + -19 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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