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Simplifying 4n + -30 = 46 + 2n Reorder the terms: -30 + 4n = 46 + 2n Solving -30 + 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. -30 + 4n + -2n = 46 + 2n + -2n Combine like terms: 4n + -2n = 2n -30 + 2n = 46 + 2n + -2n Combine like terms: 2n + -2n = 0 -30 + 2n = 46 + 0 -30 + 2n = 46 Add '30' to each side of the equation. -30 + 30 + 2n = 46 + 30 Combine like terms: -30 + 30 = 0 0 + 2n = 46 + 30 2n = 46 + 30 Combine like terms: 46 + 30 = 76 2n = 76 Divide each side by '2'. n = 38 Simplifying n = 38
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