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Simplifying 8n + -27 = 5(8n + 1) Reorder the terms: -27 + 8n = 5(8n + 1) Reorder the terms: -27 + 8n = 5(1 + 8n) -27 + 8n = (1 * 5 + 8n * 5) -27 + 8n = (5 + 40n) Solving -27 + 8n = 5 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -27 + 8n + -40n = 5 + 40n + -40n Combine like terms: 8n + -40n = -32n -27 + -32n = 5 + 40n + -40n Combine like terms: 40n + -40n = 0 -27 + -32n = 5 + 0 -27 + -32n = 5 Add '27' to each side of the equation. -27 + 27 + -32n = 5 + 27 Combine like terms: -27 + 27 = 0 0 + -32n = 5 + 27 -32n = 5 + 27 Combine like terms: 5 + 27 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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