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Simplifying 2n + 6 = 48 + -5n Reorder the terms: 6 + 2n = 48 + -5n Solving 6 + 2n = 48 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 6 + 2n + 5n = 48 + -5n + 5n Combine like terms: 2n + 5n = 7n 6 + 7n = 48 + -5n + 5n Combine like terms: -5n + 5n = 0 6 + 7n = 48 + 0 6 + 7n = 48 Add '-6' to each side of the equation. 6 + -6 + 7n = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 48 + -6 7n = 48 + -6 Combine like terms: 48 + -6 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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