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Simplifying -4(-5n + -8) = 6n + -38 Reorder the terms: -4(-8 + -5n) = 6n + -38 (-8 * -4 + -5n * -4) = 6n + -38 (32 + 20n) = 6n + -38 Reorder the terms: 32 + 20n = -38 + 6n Solving 32 + 20n = -38 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 32 + 20n + -6n = -38 + 6n + -6n Combine like terms: 20n + -6n = 14n 32 + 14n = -38 + 6n + -6n Combine like terms: 6n + -6n = 0 32 + 14n = -38 + 0 32 + 14n = -38 Add '-32' to each side of the equation. 32 + -32 + 14n = -38 + -32 Combine like terms: 32 + -32 = 0 0 + 14n = -38 + -32 14n = -38 + -32 Combine like terms: -38 + -32 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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