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Simplifying 8n + -5 + 2 = 7n + -10 Reorder the terms: -5 + 2 + 8n = 7n + -10 Combine like terms: -5 + 2 = -3 -3 + 8n = 7n + -10 Reorder the terms: -3 + 8n = -10 + 7n Solving -3 + 8n = -10 + 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. -3 + 8n + -7n = -10 + 7n + -7n Combine like terms: 8n + -7n = 1n -3 + 1n = -10 + 7n + -7n Combine like terms: 7n + -7n = 0 -3 + 1n = -10 + 0 -3 + 1n = -10 Add '3' to each side of the equation. -3 + 3 + 1n = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = -10 + 3 1n = -10 + 3 Combine like terms: -10 + 3 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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