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Simplifying -8(2n + -4) + 5 = 43 Reorder the terms: -8(-4 + 2n) + 5 = 43 (-4 * -8 + 2n * -8) + 5 = 43 (32 + -16n) + 5 = 43 Reorder the terms: 32 + 5 + -16n = 43 Combine like terms: 32 + 5 = 37 37 + -16n = 43 Solving 37 + -16n = 43 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -16n = 43 + -37 Combine like terms: 37 + -37 = 0 0 + -16n = 43 + -37 -16n = 43 + -37 Combine like terms: 43 + -37 = 6 -16n = 6 Divide each side by '-16'. n = -0.375 Simplifying n = -0.375
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