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Simplifying 3n + 7 = -2n + 17 Reorder the terms: 7 + 3n = -2n + 17 Reorder the terms: 7 + 3n = 17 + -2n Solving 7 + 3n = 17 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 7 + 3n + 2n = 17 + -2n + 2n Combine like terms: 3n + 2n = 5n 7 + 5n = 17 + -2n + 2n Combine like terms: -2n + 2n = 0 7 + 5n = 17 + 0 7 + 5n = 17 Add '-7' to each side of the equation. 7 + -7 + 5n = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 17 + -7 5n = 17 + -7 Combine like terms: 17 + -7 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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