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Simplifying -8n + 5 = -7n + -12 Reorder the terms: 5 + -8n = -7n + -12 Reorder the terms: 5 + -8n = -12 + -7n Solving 5 + -8n = -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. 5 + -8n + 7n = -12 + -7n + 7n Combine like terms: -8n + 7n = -1n 5 + -1n = -12 + -7n + 7n Combine like terms: -7n + 7n = 0 5 + -1n = -12 + 0 5 + -1n = -12 Add '-5' to each side of the equation. 5 + -5 + -1n = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -12 + -5 -1n = -12 + -5 Combine like terms: -12 + -5 = -17 -1n = -17 Divide each side by '-1'. n = 17 Simplifying n = 17
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