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Simplifying 7n + 7 = -1n + 47 Reorder the terms: 7 + 7n = -1n + 47 Reorder the terms: 7 + 7n = 47 + -1n Solving 7 + 7n = 47 + -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. 7 + 7n + n = 47 + -1n + n Combine like terms: 7n + n = 8n 7 + 8n = 47 + -1n + n Combine like terms: -1n + n = 0 7 + 8n = 47 + 0 7 + 8n = 47 Add '-7' to each side of the equation. 7 + -7 + 8n = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 8n = 47 + -7 8n = 47 + -7 Combine like terms: 47 + -7 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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