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Simplifying 8n + -22 = 3(3n + 11) + -6n Reorder the terms: -22 + 8n = 3(3n + 11) + -6n Reorder the terms: -22 + 8n = 3(11 + 3n) + -6n -22 + 8n = (11 * 3 + 3n * 3) + -6n -22 + 8n = (33 + 9n) + -6n Combine like terms: 9n + -6n = 3n -22 + 8n = 33 + 3n Solving -22 + 8n = 33 + 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 = 33 + 3n + -3n Combine like terms: 8n + -3n = 5n -22 + 5n = 33 + 3n + -3n Combine like terms: 3n + -3n = 0 -22 + 5n = 33 + 0 -22 + 5n = 33 Add '22' to each side of the equation. -22 + 22 + 5n = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 5n = 33 + 22 5n = 33 + 22 Combine like terms: 33 + 22 = 55 5n = 55 Divide each side by '5'. n = 11 Simplifying n = 11
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