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Simplifying 40 + -5n = 8n + 3(8 + -7n) 40 + -5n = 8n + (8 * 3 + -7n * 3) 40 + -5n = 8n + (24 + -21n) Reorder the terms: 40 + -5n = 24 + 8n + -21n Combine like terms: 8n + -21n = -13n 40 + -5n = 24 + -13n Solving 40 + -5n = 24 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 40 + -5n + 13n = 24 + -13n + 13n Combine like terms: -5n + 13n = 8n 40 + 8n = 24 + -13n + 13n Combine like terms: -13n + 13n = 0 40 + 8n = 24 + 0 40 + 8n = 24 Add '-40' to each side of the equation. 40 + -40 + 8n = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 8n = 24 + -40 8n = 24 + -40 Combine like terms: 24 + -40 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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