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Simplifying 8(2n + -56) = 4n + 8 Reorder the terms: 8(-56 + 2n) = 4n + 8 (-56 * 8 + 2n * 8) = 4n + 8 (-448 + 16n) = 4n + 8 Reorder the terms: -448 + 16n = 8 + 4n Solving -448 + 16n = 8 + 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. -448 + 16n + -4n = 8 + 4n + -4n Combine like terms: 16n + -4n = 12n -448 + 12n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -448 + 12n = 8 + 0 -448 + 12n = 8 Add '448' to each side of the equation. -448 + 448 + 12n = 8 + 448 Combine like terms: -448 + 448 = 0 0 + 12n = 8 + 448 12n = 8 + 448 Combine like terms: 8 + 448 = 456 12n = 456 Divide each side by '12'. n = 38 Simplifying n = 38
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