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Simplifying 5n + 3(4 + 4n) = 32 + -3n 5n + (4 * 3 + 4n * 3) = 32 + -3n 5n + (12 + 12n) = 32 + -3n Reorder the terms: 12 + 5n + 12n = 32 + -3n Combine like terms: 5n + 12n = 17n 12 + 17n = 32 + -3n Solving 12 + 17n = 32 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 12 + 17n + 3n = 32 + -3n + 3n Combine like terms: 17n + 3n = 20n 12 + 20n = 32 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + 20n = 32 + 0 12 + 20n = 32 Add '-12' to each side of the equation. 12 + -12 + 20n = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 20n = 32 + -12 20n = 32 + -12 Combine like terms: 32 + -12 = 20 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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