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Simplifying 3n + 10 = 17 + -4n Reorder the terms: 10 + 3n = 17 + -4n Solving 10 + 3n = 17 + -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. 10 + 3n + 4n = 17 + -4n + 4n Combine like terms: 3n + 4n = 7n 10 + 7n = 17 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + 7n = 17 + 0 10 + 7n = 17 Add '-10' to each side of the equation. 10 + -10 + 7n = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 7n = 17 + -10 7n = 17 + -10 Combine like terms: 17 + -10 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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