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Simplifying 2n + 32 = 4n + 16 Reorder the terms: 32 + 2n = 4n + 16 Reorder the terms: 32 + 2n = 16 + 4n Solving 32 + 2n = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 32 + 2n + -4n = 16 + 4n + -4n Combine like terms: 2n + -4n = -2n 32 + -2n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 32 + -2n = 16 + 0 32 + -2n = 16 Add '-32' to each side of the equation. 32 + -32 + -2n = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -2n = 16 + -32 -2n = 16 + -32 Combine like terms: 16 + -32 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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