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Simplifying -8(4n + -2) = 112 Reorder the terms: -8(-2 + 4n) = 112 (-2 * -8 + 4n * -8) = 112 (16 + -32n) = 112 Solving 16 + -32n = 112 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -32n = 112 + -16 Combine like terms: 16 + -16 = 0 0 + -32n = 112 + -16 -32n = 112 + -16 Combine like terms: 112 + -16 = 96 -32n = 96 Divide each side by '-32'. n = -3 Simplifying n = -3
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