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Simplifying 5(5(4z + -19) + z + -4) + -1z = 24 Reorder the terms: 5(5(-19 + 4z) + z + -4) + -1z = 24 5((-19 * 5 + 4z * 5) + z + -4) + -1z = 24 5((-95 + 20z) + z + -4) + -1z = 24 Reorder the terms: 5(-95 + -4 + 20z + z) + -1z = 24 Combine like terms: -95 + -4 = -99 5(-99 + 20z + z) + -1z = 24 Combine like terms: 20z + z = 21z 5(-99 + 21z) + -1z = 24 (-99 * 5 + 21z * 5) + -1z = 24 (-495 + 105z) + -1z = 24 Combine like terms: 105z + -1z = 104z -495 + 104z = 24 Solving -495 + 104z = 24 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '495' to each side of the equation. -495 + 495 + 104z = 24 + 495 Combine like terms: -495 + 495 = 0 0 + 104z = 24 + 495 104z = 24 + 495 Combine like terms: 24 + 495 = 519 104z = 519 Divide each side by '104'. z = 4.990384615 Simplifying z = 4.990384615
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