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Simplifying 12n + 38 = -7n Reorder the terms: 38 + 12n = -7n Solving 38 + 12n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 38 + 12n + 7n = -7n + 7n Combine like terms: 12n + 7n = 19n 38 + 19n = -7n + 7n Combine like terms: -7n + 7n = 0 38 + 19n = 0 Add '-38' to each side of the equation. 38 + -38 + 19n = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 19n = 0 + -38 19n = 0 + -38 Combine like terms: 0 + -38 = -38 19n = -38 Divide each side by '19'. n = -2 Simplifying n = -2
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