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Simplifying 5n + 17 = 4n + 10 Reorder the terms: 17 + 5n = 4n + 10 Reorder the terms: 17 + 5n = 10 + 4n Solving 17 + 5n = 10 + 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 + 5n + -4n = 10 + 4n + -4n Combine like terms: 5n + -4n = 1n 17 + 1n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 17 + 1n = 10 + 0 17 + 1n = 10 Add '-17' to each side of the equation. 17 + -17 + 1n = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 10 + -17 1n = 10 + -17 Combine like terms: 10 + -17 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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