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Simplifying 5n + -2 = 38 + -1n Reorder the terms: -2 + 5n = 38 + -1n Solving -2 + 5n = 38 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -2 + 5n + n = 38 + -1n + n Combine like terms: 5n + n = 6n -2 + 6n = 38 + -1n + n Combine like terms: -1n + n = 0 -2 + 6n = 38 + 0 -2 + 6n = 38 Add '2' to each side of the equation. -2 + 2 + 6n = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = 38 + 2 6n = 38 + 2 Combine like terms: 38 + 2 = 40 6n = 40 Divide each side by '6'. n = 6.666666667 Simplifying n = 6.666666667
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