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Simplifying n + -286 = -6n + -6 Reorder the terms: -286 + n = -6n + -6 Reorder the terms: -286 + n = -6 + -6n Solving -286 + n = -6 + -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. -286 + n + 6n = -6 + -6n + 6n Combine like terms: n + 6n = 7n -286 + 7n = -6 + -6n + 6n Combine like terms: -6n + 6n = 0 -286 + 7n = -6 + 0 -286 + 7n = -6 Add '286' to each side of the equation. -286 + 286 + 7n = -6 + 286 Combine like terms: -286 + 286 = 0 0 + 7n = -6 + 286 7n = -6 + 286 Combine like terms: -6 + 286 = 280 7n = 280 Divide each side by '7'. n = 40 Simplifying n = 40
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