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Simplifying -8(2n + -5) = 0.25(-20n + 32) Reorder the terms: -8(-5 + 2n) = 0.25(-20n + 32) (-5 * -8 + 2n * -8) = 0.25(-20n + 32) (40 + -16n) = 0.25(-20n + 32) Reorder the terms: 40 + -16n = 0.25(32 + -20n) 40 + -16n = (32 * 0.25 + -20n * 0.25) 40 + -16n = (8 + -5n) Solving 40 + -16n = 8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 40 + -16n + 5n = 8 + -5n + 5n Combine like terms: -16n + 5n = -11n 40 + -11n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 40 + -11n = 8 + 0 40 + -11n = 8 Add '-40' to each side of the equation. 40 + -40 + -11n = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -11n = 8 + -40 -11n = 8 + -40 Combine like terms: 8 + -40 = -32 -11n = -32 Divide each side by '-11'. n = 2.909090909 Simplifying n = 2.909090909
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