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Simplifying 3n + 17 = 4n + 16 Reorder the terms: 17 + 3n = 4n + 16 Reorder the terms: 17 + 3n = 16 + 4n Solving 17 + 3n = 16 + 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. 17 + 3n + -4n = 16 + 4n + -4n Combine like terms: 3n + -4n = -1n 17 + -1n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 17 + -1n = 16 + 0 17 + -1n = 16 Add '-17' to each side of the equation. 17 + -17 + -1n = 16 + -17 Combine like terms: 17 + -17 = 0 0 + -1n = 16 + -17 -1n = 16 + -17 Combine like terms: 16 + -17 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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