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Simplifying 4 + -8(-4n + -5) = -116 Reorder the terms: 4 + -8(-5 + -4n) = -116 4 + (-5 * -8 + -4n * -8) = -116 4 + (40 + 32n) = -116 Combine like terms: 4 + 40 = 44 44 + 32n = -116 Solving 44 + 32n = -116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 32n = -116 + -44 Combine like terms: 44 + -44 = 0 0 + 32n = -116 + -44 32n = -116 + -44 Combine like terms: -116 + -44 = -160 32n = -160 Divide each side by '32'. n = -5 Simplifying n = -5
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