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Simplifying 4n + -52 = 48 + -12n + 14n Reorder the terms: -52 + 4n = 48 + -12n + 14n Combine like terms: -12n + 14n = 2n -52 + 4n = 48 + 2n Solving -52 + 4n = 48 + 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. -52 + 4n + -2n = 48 + 2n + -2n Combine like terms: 4n + -2n = 2n -52 + 2n = 48 + 2n + -2n Combine like terms: 2n + -2n = 0 -52 + 2n = 48 + 0 -52 + 2n = 48 Add '52' to each side of the equation. -52 + 52 + 2n = 48 + 52 Combine like terms: -52 + 52 = 0 0 + 2n = 48 + 52 2n = 48 + 52 Combine like terms: 48 + 52 = 100 2n = 100 Divide each side by '2'. n = 50 Simplifying n = 50
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