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Simplifying 7n + -22 = 4n + 5 Reorder the terms: -22 + 7n = 4n + 5 Reorder the terms: -22 + 7n = 5 + 4n Solving -22 + 7n = 5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -22 + 7n + -4n = 5 + 4n + -4n Combine like terms: 7n + -4n = 3n -22 + 3n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 -22 + 3n = 5 + 0 -22 + 3n = 5 Add '22' to each side of the equation. -22 + 22 + 3n = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 3n = 5 + 22 3n = 5 + 22 Combine like terms: 5 + 22 = 27 3n = 27 Divide each side by '3'. n = 9 Simplifying n = 9
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