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Simplifying 0.5(32n + -40) = 4(5n + 1) Reorder the terms: 0.5(-40 + 32n) = 4(5n + 1) (-40 * 0.5 + 32n * 0.5) = 4(5n + 1) (-20 + 16n) = 4(5n + 1) Reorder the terms: -20 + 16n = 4(1 + 5n) -20 + 16n = (1 * 4 + 5n * 4) -20 + 16n = (4 + 20n) Solving -20 + 16n = 4 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -20 + 16n + -20n = 4 + 20n + -20n Combine like terms: 16n + -20n = -4n -20 + -4n = 4 + 20n + -20n Combine like terms: 20n + -20n = 0 -20 + -4n = 4 + 0 -20 + -4n = 4 Add '20' to each side of the equation. -20 + 20 + -4n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -4n = 4 + 20 -4n = 4 + 20 Combine like terms: 4 + 20 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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