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Simplifying 7n + -5 = 19 + -1n Reorder the terms: -5 + 7n = 19 + -1n Solving -5 + 7n = 19 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -5 + 7n + n = 19 + -1n + n Combine like terms: 7n + n = 8n -5 + 8n = 19 + -1n + n Combine like terms: -1n + n = 0 -5 + 8n = 19 + 0 -5 + 8n = 19 Add '5' to each side of the equation. -5 + 5 + 8n = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 8n = 19 + 5 8n = 19 + 5 Combine like terms: 19 + 5 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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