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Simplifying 6n + -2 = 38 + n Reorder the terms: -2 + 6n = 38 + n Solving -2 + 6n = 38 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + 6n + -1n = 38 + n + -1n Combine like terms: 6n + -1n = 5n -2 + 5n = 38 + n + -1n Combine like terms: n + -1n = 0 -2 + 5n = 38 + 0 -2 + 5n = 38 Add '2' to each side of the equation. -2 + 2 + 5n = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 38 + 2 5n = 38 + 2 Combine like terms: 38 + 2 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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