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Simplifying 7 + 17n + -2 = 6n + 50 + -4n Reorder the terms: 7 + -2 + 17n = 6n + 50 + -4n Combine like terms: 7 + -2 = 5 5 + 17n = 6n + 50 + -4n Reorder the terms: 5 + 17n = 50 + 6n + -4n Combine like terms: 6n + -4n = 2n 5 + 17n = 50 + 2n Solving 5 + 17n = 50 + 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. 5 + 17n + -2n = 50 + 2n + -2n Combine like terms: 17n + -2n = 15n 5 + 15n = 50 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 15n = 50 + 0 5 + 15n = 50 Add '-5' to each side of the equation. 5 + -5 + 15n = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 15n = 50 + -5 15n = 50 + -5 Combine like terms: 50 + -5 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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