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Simplifying -8(4n + 7) = -216 Reorder the terms: -8(7 + 4n) = -216 (7 * -8 + 4n * -8) = -216 (-56 + -32n) = -216 Solving -56 + -32n = -216 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -32n = -216 + 56 Combine like terms: -56 + 56 = 0 0 + -32n = -216 + 56 -32n = -216 + 56 Combine like terms: -216 + 56 = -160 -32n = -160 Divide each side by '-32'. n = 5 Simplifying n = 5
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