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Simplifying -5n + 6 = 2n + 12 Reorder the terms: 6 + -5n = 2n + 12 Reorder the terms: 6 + -5n = 12 + 2n Solving 6 + -5n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 6 + -5n + -2n = 12 + 2n + -2n Combine like terms: -5n + -2n = -7n 6 + -7n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + -7n = 12 + 0 6 + -7n = 12 Add '-6' to each side of the equation. 6 + -6 + -7n = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7n = 12 + -6 -7n = 12 + -6 Combine like terms: 12 + -6 = 6 -7n = 6 Divide each side by '-7'. n = -0.8571428571 Simplifying n = -0.8571428571
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