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Simplifying n + 4 + -8 = 2 + 7n Reorder the terms: 4 + -8 + n = 2 + 7n Combine like terms: 4 + -8 = -4 -4 + n = 2 + 7n Solving -4 + n = 2 + 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. -4 + n + -7n = 2 + 7n + -7n Combine like terms: n + -7n = -6n -4 + -6n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -6n = 2 + 0 -4 + -6n = 2 Add '4' to each side of the equation. -4 + 4 + -6n = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -6n = 2 + 4 -6n = 2 + 4 Combine like terms: 2 + 4 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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