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Simplifying -5n + -1(-7 + -4n) = 36 + 7n -5n + (-7 * -1 + -4n * -1) = 36 + 7n -5n + (7 + 4n) = 36 + 7n Reorder the terms: 7 + -5n + 4n = 36 + 7n Combine like terms: -5n + 4n = -1n 7 + -1n = 36 + 7n Solving 7 + -1n = 36 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 7 + -1n + -7n = 36 + 7n + -7n Combine like terms: -1n + -7n = -8n 7 + -8n = 36 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -8n = 36 + 0 7 + -8n = 36 Add '-7' to each side of the equation. 7 + -7 + -8n = 36 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 36 + -7 -8n = 36 + -7 Combine like terms: 36 + -7 = 29 -8n = 29 Divide each side by '-8'. n = -3.625 Simplifying n = -3.625
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