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Simplifying 22 + n + -7 = 8n + -3n + n Reorder the terms: 22 + -7 + n = 8n + -3n + n Combine like terms: 22 + -7 = 15 15 + n = 8n + -3n + n Combine like terms: 8n + -3n = 5n 15 + n = 5n + n Combine like terms: 5n + n = 6n 15 + n = 6n Solving 15 + n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 15 + n + -6n = 6n + -6n Combine like terms: n + -6n = -5n 15 + -5n = 6n + -6n Combine like terms: 6n + -6n = 0 15 + -5n = 0 Add '-15' to each side of the equation. 15 + -15 + -5n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5n = 0 + -15 -5n = 0 + -15 Combine like terms: 0 + -15 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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