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Simplifying -5n + -7 = 3n + 41 Reorder the terms: -7 + -5n = 3n + 41 Reorder the terms: -7 + -5n = 41 + 3n Solving -7 + -5n = 41 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -7 + -5n + -3n = 41 + 3n + -3n Combine like terms: -5n + -3n = -8n -7 + -8n = 41 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + -8n = 41 + 0 -7 + -8n = 41 Add '7' to each side of the equation. -7 + 7 + -8n = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -8n = 41 + 7 -8n = 41 + 7 Combine like terms: 41 + 7 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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