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Simplifying 3(4n + -8) + -7n = 16 Reorder the terms: 3(-8 + 4n) + -7n = 16 (-8 * 3 + 4n * 3) + -7n = 16 (-24 + 12n) + -7n = 16 Combine like terms: 12n + -7n = 5n -24 + 5n = 16 Solving -24 + 5n = 16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5n = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 5n = 16 + 24 5n = 16 + 24 Combine like terms: 16 + 24 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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