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Simplifying 6n + 42 = 4n + -40 Reorder the terms: 42 + 6n = 4n + -40 Reorder the terms: 42 + 6n = -40 + 4n Solving 42 + 6n = -40 + 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 = -40 + 4n + -4n Combine like terms: 6n + -4n = 2n 42 + 2n = -40 + 4n + -4n Combine like terms: 4n + -4n = 0 42 + 2n = -40 + 0 42 + 2n = -40 Add '-42' to each side of the equation. 42 + -42 + 2n = -40 + -42 Combine like terms: 42 + -42 = 0 0 + 2n = -40 + -42 2n = -40 + -42 Combine like terms: -40 + -42 = -82 2n = -82 Divide each side by '2'. n = -41 Simplifying n = -41
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