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Simplifying -5n + 12 = -8 + -7n Reorder the terms: 12 + -5n = -8 + -7n Solving 12 + -5n = -8 + -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. 12 + -5n + 7n = -8 + -7n + 7n Combine like terms: -5n + 7n = 2n 12 + 2n = -8 + -7n + 7n Combine like terms: -7n + 7n = 0 12 + 2n = -8 + 0 12 + 2n = -8 Add '-12' to each side of the equation. 12 + -12 + 2n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = -8 + -12 2n = -8 + -12 Combine like terms: -8 + -12 = -20 2n = -20 Divide each side by '2'. n = -10 Simplifying n = -10
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