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Simplifying 7n + 3 = 8n + -7 Reorder the terms: 3 + 7n = 8n + -7 Reorder the terms: 3 + 7n = -7 + 8n Solving 3 + 7n = -7 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 3 + 7n + -8n = -7 + 8n + -8n Combine like terms: 7n + -8n = -1n 3 + -1n = -7 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + -1n = -7 + 0 3 + -1n = -7 Add '-3' to each side of the equation. 3 + -3 + -1n = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = -7 + -3 -1n = -7 + -3 Combine like terms: -7 + -3 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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