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Simplifying 2n + -7 = 38 + 7n Reorder the terms: -7 + 2n = 38 + 7n Solving -7 + 2n = 38 + 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. -7 + 2n + -7n = 38 + 7n + -7n Combine like terms: 2n + -7n = -5n -7 + -5n = 38 + 7n + -7n Combine like terms: 7n + -7n = 0 -7 + -5n = 38 + 0 -7 + -5n = 38 Add '7' to each side of the equation. -7 + 7 + -5n = 38 + 7 Combine like terms: -7 + 7 = 0 0 + -5n = 38 + 7 -5n = 38 + 7 Combine like terms: 38 + 7 = 45 -5n = 45 Divide each side by '-5'. n = -9 Simplifying n = -9
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