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Simplifying n + -8 = 12 + 6n Reorder the terms: -8 + n = 12 + 6n Solving -8 + n = 12 + 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. -8 + n + -6n = 12 + 6n + -6n Combine like terms: n + -6n = -5n -8 + -5n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + -5n = 12 + 0 -8 + -5n = 12 Add '8' to each side of the equation. -8 + 8 + -5n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5n = 12 + 8 -5n = 12 + 8 Combine like terms: 12 + 8 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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