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Simplifying 3n + 50 = 5n + -10 Reorder the terms: 50 + 3n = 5n + -10 Reorder the terms: 50 + 3n = -10 + 5n Solving 50 + 3n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 50 + 3n + -5n = -10 + 5n + -5n Combine like terms: 3n + -5n = -2n 50 + -2n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 50 + -2n = -10 + 0 50 + -2n = -10 Add '-50' to each side of the equation. 50 + -50 + -2n = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -2n = -10 + -50 -2n = -10 + -50 Combine like terms: -10 + -50 = -60 -2n = -60 Divide each side by '-2'. n = 30 Simplifying n = 30
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