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Simplifying 5(5(4z + -19) + z + -4) + -2 = 24 Reorder the terms: 5(5(-19 + 4z) + z + -4) + -2 = 24 5((-19 * 5 + 4z * 5) + z + -4) + -2 = 24 5((-95 + 20z) + z + -4) + -2 = 24 Reorder the terms: 5(-95 + -4 + 20z + z) + -2 = 24 Combine like terms: -95 + -4 = -99 5(-99 + 20z + z) + -2 = 24 Combine like terms: 20z + z = 21z 5(-99 + 21z) + -2 = 24 (-99 * 5 + 21z * 5) + -2 = 24 (-495 + 105z) + -2 = 24 Reorder the terms: -495 + -2 + 105z = 24 Combine like terms: -495 + -2 = -497 -497 + 105z = 24 Solving -497 + 105z = 24 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '497' to each side of the equation. -497 + 497 + 105z = 24 + 497 Combine like terms: -497 + 497 = 0 0 + 105z = 24 + 497 105z = 24 + 497 Combine like terms: 24 + 497 = 521 105z = 521 Divide each side by '105'. z = 4.961904762 Simplifying z = 4.961904762
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