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Simplifying 8n + 7 = 2n + -12 Reorder the terms: 7 + 8n = 2n + -12 Reorder the terms: 7 + 8n = -12 + 2n Solving 7 + 8n = -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. 7 + 8n + -2n = -12 + 2n + -2n Combine like terms: 8n + -2n = 6n 7 + 6n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 6n = -12 + 0 7 + 6n = -12 Add '-7' to each side of the equation. 7 + -7 + 6n = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = -12 + -7 6n = -12 + -7 Combine like terms: -12 + -7 = -19 6n = -19 Divide each side by '6'. n = -3.166666667 Simplifying n = -3.166666667
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