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Simplifying 1 + -8(4n + -5) = -23 Reorder the terms: 1 + -8(-5 + 4n) = -23 1 + (-5 * -8 + 4n * -8) = -23 1 + (40 + -32n) = -23 Combine like terms: 1 + 40 = 41 41 + -32n = -23 Solving 41 + -32n = -23 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -32n = -23 + -41 Combine like terms: 41 + -41 = 0 0 + -32n = -23 + -41 -32n = -23 + -41 Combine like terms: -23 + -41 = -64 -32n = -64 Divide each side by '-32'. n = 2 Simplifying n = 2
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