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Simplifying 32n + 12 + -20 = 12n + 16 + 1 Reorder the terms: 12 + -20 + 32n = 12n + 16 + 1 Combine like terms: 12 + -20 = -8 -8 + 32n = 12n + 16 + 1 Reorder the terms: -8 + 32n = 16 + 1 + 12n Combine like terms: 16 + 1 = 17 -8 + 32n = 17 + 12n Solving -8 + 32n = 17 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -8 + 32n + -12n = 17 + 12n + -12n Combine like terms: 32n + -12n = 20n -8 + 20n = 17 + 12n + -12n Combine like terms: 12n + -12n = 0 -8 + 20n = 17 + 0 -8 + 20n = 17 Add '8' to each side of the equation. -8 + 8 + 20n = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 20n = 17 + 8 20n = 17 + 8 Combine like terms: 17 + 8 = 25 20n = 25 Divide each side by '20'. n = 1.25 Simplifying n = 1.25
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