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Simplifying -4(8n + -1) = 19 + 32n Reorder the terms: -4(-1 + 8n) = 19 + 32n (-1 * -4 + 8n * -4) = 19 + 32n (4 + -32n) = 19 + 32n Solving 4 + -32n = 19 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 4 + -32n + -32n = 19 + 32n + -32n Combine like terms: -32n + -32n = -64n 4 + -64n = 19 + 32n + -32n Combine like terms: 32n + -32n = 0 4 + -64n = 19 + 0 4 + -64n = 19 Add '-4' to each side of the equation. 4 + -4 + -64n = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -64n = 19 + -4 -64n = 19 + -4 Combine like terms: 19 + -4 = 15 -64n = 15 Divide each side by '-64'. n = -0.234375 Simplifying n = -0.234375
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