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Simplifying 6n + -42 = 4n + 8 Reorder the terms: -42 + 6n = 4n + 8 Reorder the terms: -42 + 6n = 8 + 4n Solving -42 + 6n = 8 + 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. -42 + 6n + -4n = 8 + 4n + -4n Combine like terms: 6n + -4n = 2n -42 + 2n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -42 + 2n = 8 + 0 -42 + 2n = 8 Add '42' to each side of the equation. -42 + 42 + 2n = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 2n = 8 + 42 2n = 8 + 42 Combine like terms: 8 + 42 = 50 2n = 50 Divide each side by '2'. n = 25 Simplifying n = 25
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