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Simplifying 4n + -6 = 2n + 46 Reorder the terms: -6 + 4n = 2n + 46 Reorder the terms: -6 + 4n = 46 + 2n Solving -6 + 4n = 46 + 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. -6 + 4n + -2n = 46 + 2n + -2n Combine like terms: 4n + -2n = 2n -6 + 2n = 46 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 2n = 46 + 0 -6 + 2n = 46 Add '6' to each side of the equation. -6 + 6 + 2n = 46 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 46 + 6 2n = 46 + 6 Combine like terms: 46 + 6 = 52 2n = 52 Divide each side by '2'. n = 26 Simplifying n = 26
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