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Simplifying 8(2z + -5) = 4n + 8 Reorder the terms: 8(-5 + 2z) = 4n + 8 (-5 * 8 + 2z * 8) = 4n + 8 (-40 + 16z) = 4n + 8 Reorder the terms: -40 + 16z = 8 + 4n Solving -40 + 16z = 8 + 4n Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 16z = 8 + 40 + 4n Combine like terms: -40 + 40 = 0 0 + 16z = 8 + 40 + 4n 16z = 8 + 40 + 4n Combine like terms: 8 + 40 = 48 16z = 48 + 4n Divide each side by '16'. z = 3 + 0.25n Simplifying z = 3 + 0.25n
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