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Simplifying 3n + 23 = 4n + 38 Reorder the terms: 23 + 3n = 4n + 38 Reorder the terms: 23 + 3n = 38 + 4n Solving 23 + 3n = 38 + 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. 23 + 3n + -4n = 38 + 4n + -4n Combine like terms: 3n + -4n = -1n 23 + -1n = 38 + 4n + -4n Combine like terms: 4n + -4n = 0 23 + -1n = 38 + 0 23 + -1n = 38 Add '-23' to each side of the equation. 23 + -23 + -1n = 38 + -23 Combine like terms: 23 + -23 = 0 0 + -1n = 38 + -23 -1n = 38 + -23 Combine like terms: 38 + -23 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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