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Simplifying 19 + 7n = -2n + 7 Reorder the terms: 19 + 7n = 7 + -2n Solving 19 + 7n = 7 + -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 = 7 + -2n + 2n Combine like terms: 7n + 2n = 9n 19 + 9n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 19 + 9n = 7 + 0 19 + 9n = 7 Add '-19' to each side of the equation. 19 + -19 + 9n = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 9n = 7 + -19 9n = 7 + -19 Combine like terms: 7 + -19 = -12 9n = -12 Divide each side by '9'. n = -1.333333333 Simplifying n = -1.333333333
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