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Simplifying 22 = 2n + 3n + 7 Reorder the terms: 22 = 7 + 2n + 3n Combine like terms: 2n + 3n = 5n 22 = 7 + 5n Solving 22 = 7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 22 + -5n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 22 + -5n = 7 + 0 22 + -5n = 7 Add '-22' to each side of the equation. 22 + -22 + -5n = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -5n = 7 + -22 -5n = 7 + -22 Combine like terms: 7 + -22 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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