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Simplifying 3n + 22 = 4n + 32 Reorder the terms: 22 + 3n = 4n + 32 Reorder the terms: 22 + 3n = 32 + 4n Solving 22 + 3n = 32 + 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 + 3n + -4n = 32 + 4n + -4n Combine like terms: 3n + -4n = -1n 22 + -1n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 22 + -1n = 32 + 0 22 + -1n = 32 Add '-22' to each side of the equation. 22 + -22 + -1n = 32 + -22 Combine like terms: 22 + -22 = 0 0 + -1n = 32 + -22 -1n = 32 + -22 Combine like terms: 32 + -22 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10
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