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Simplifying 2n + 22 = 3n + 38 Reorder the terms: 22 + 2n = 3n + 38 Reorder the terms: 22 + 2n = 38 + 3n Solving 22 + 2n = 38 + 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 + 2n + -3n = 38 + 3n + -3n Combine like terms: 2n + -3n = -1n 22 + -1n = 38 + 3n + -3n Combine like terms: 3n + -3n = 0 22 + -1n = 38 + 0 22 + -1n = 38 Add '-22' to each side of the equation. 22 + -22 + -1n = 38 + -22 Combine like terms: 22 + -22 = 0 0 + -1n = 38 + -22 -1n = 38 + -22 Combine like terms: 38 + -22 = 16 -1n = 16 Divide each side by '-1'. n = -16 Simplifying n = -16
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