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Simplifying 7n + -2n = 1 + 6n + -7 + 8 Combine like terms: 7n + -2n = 5n 5n = 1 + 6n + -7 + 8 Reorder the terms: 5n = 1 + -7 + 8 + 6n Combine like terms: 1 + -7 = -6 5n = -6 + 8 + 6n Combine like terms: -6 + 8 = 2 5n = 2 + 6n Solving 5n = 2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5n + -6n = 2 + 6n + -6n Combine like terms: 5n + -6n = -1n -1n = 2 + 6n + -6n Combine like terms: 6n + -6n = 0 -1n = 2 + 0 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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