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Simplifying n + -6 = 12 + 7n Reorder the terms: -6 + n = 12 + 7n Solving -6 + n = 12 + 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. -6 + n + -7n = 12 + 7n + -7n Combine like terms: n + -7n = -6n -6 + -6n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + -6n = 12 + 0 -6 + -6n = 12 Add '6' to each side of the equation. -6 + 6 + -6n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6n = 12 + 6 -6n = 12 + 6 Combine like terms: 12 + 6 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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