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Simplifying 9n + 8 + 6n = 52 + -7n Reorder the terms: 8 + 9n + 6n = 52 + -7n Combine like terms: 9n + 6n = 15n 8 + 15n = 52 + -7n Solving 8 + 15n = 52 + -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. 8 + 15n + 7n = 52 + -7n + 7n Combine like terms: 15n + 7n = 22n 8 + 22n = 52 + -7n + 7n Combine like terms: -7n + 7n = 0 8 + 22n = 52 + 0 8 + 22n = 52 Add '-8' to each side of the equation. 8 + -8 + 22n = 52 + -8 Combine like terms: 8 + -8 = 0 0 + 22n = 52 + -8 22n = 52 + -8 Combine like terms: 52 + -8 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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