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Simplifying -1(4 + -1n) + 7n = -3n + 40 (4 * -1 + -1n * -1) + 7n = -3n + 40 (-4 + 1n) + 7n = -3n + 40 Combine like terms: 1n + 7n = 8n -4 + 8n = -3n + 40 Reorder the terms: -4 + 8n = 40 + -3n Solving -4 + 8n = 40 + -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. -4 + 8n + 3n = 40 + -3n + 3n Combine like terms: 8n + 3n = 11n -4 + 11n = 40 + -3n + 3n Combine like terms: -3n + 3n = 0 -4 + 11n = 40 + 0 -4 + 11n = 40 Add '4' to each side of the equation. -4 + 4 + 11n = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 11n = 40 + 4 11n = 40 + 4 Combine like terms: 40 + 4 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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