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Simplifying 3n + -4(8 + -1n) = -46 3n + (8 * -4 + -1n * -4) = -46 3n + (-32 + 4n) = -46 Reorder the terms: -32 + 3n + 4n = -46 Combine like terms: 3n + 4n = 7n -32 + 7n = -46 Solving -32 + 7n = -46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7n = -46 + 32 Combine like terms: -32 + 32 = 0 0 + 7n = -46 + 32 7n = -46 + 32 Combine like terms: -46 + 32 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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