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Simplifying 8(6n + 2) = -4(5n + 4) Reorder the terms: 8(2 + 6n) = -4(5n + 4) (2 * 8 + 6n * 8) = -4(5n + 4) (16 + 48n) = -4(5n + 4) Reorder the terms: 16 + 48n = -4(4 + 5n) 16 + 48n = (4 * -4 + 5n * -4) 16 + 48n = (-16 + -20n) Solving 16 + 48n = -16 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 16 + 48n + 20n = -16 + -20n + 20n Combine like terms: 48n + 20n = 68n 16 + 68n = -16 + -20n + 20n Combine like terms: -20n + 20n = 0 16 + 68n = -16 + 0 16 + 68n = -16 Add '-16' to each side of the equation. 16 + -16 + 68n = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 68n = -16 + -16 68n = -16 + -16 Combine like terms: -16 + -16 = -32 68n = -32 Divide each side by '68'. n = -0.4705882353 Simplifying n = -0.4705882353
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