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Simplifying 8n + -22 = -3(-1 + -1n) Reorder the terms: -22 + 8n = -3(-1 + -1n) -22 + 8n = (-1 * -3 + -1n * -3) -22 + 8n = (3 + 3n) Solving -22 + 8n = 3 + 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. -22 + 8n + -3n = 3 + 3n + -3n Combine like terms: 8n + -3n = 5n -22 + 5n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 -22 + 5n = 3 + 0 -22 + 5n = 3 Add '22' to each side of the equation. -22 + 22 + 5n = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 5n = 3 + 22 5n = 3 + 22 Combine like terms: 3 + 22 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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