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Simplifying 10(5Z + -4) = 9(2z + 8) + -4z Reorder the terms: 10(-4 + 5Z) = 9(2z + 8) + -4z (-4 * 10 + 5Z * 10) = 9(2z + 8) + -4z (-40 + 50Z) = 9(2z + 8) + -4z Reorder the terms: -40 + 50Z = 9(8 + 2z) + -4z -40 + 50Z = (8 * 9 + 2z * 9) + -4z -40 + 50Z = (72 + 18z) + -4z Combine like terms: 18z + -4z = 14z -40 + 50Z = 72 + 14z Solving -40 + 50Z = 72 + 14z 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 + 50Z = 72 + 40 + 14z Combine like terms: -40 + 40 = 0 0 + 50Z = 72 + 40 + 14z 50Z = 72 + 40 + 14z Combine like terms: 72 + 40 = 112 50Z = 112 + 14z Divide each side by '50'. Z = 2.24 + 0.28z Simplifying Z = 2.24 + 0.28z
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