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Simplifying -8(4n + 8) = 2n + 4 Reorder the terms: -8(8 + 4n) = 2n + 4 (8 * -8 + 4n * -8) = 2n + 4 (-64 + -32n) = 2n + 4 Reorder the terms: -64 + -32n = 4 + 2n Solving -64 + -32n = 4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -64 + -32n + -2n = 4 + 2n + -2n Combine like terms: -32n + -2n = -34n -64 + -34n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -64 + -34n = 4 + 0 -64 + -34n = 4 Add '64' to each side of the equation. -64 + 64 + -34n = 4 + 64 Combine like terms: -64 + 64 = 0 0 + -34n = 4 + 64 -34n = 4 + 64 Combine like terms: 4 + 64 = 68 -34n = 68 Divide each side by '-34'. n = -2 Simplifying n = -2
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