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Simplifying 24(z + -1) = (5z + 4) * 4 Reorder the terms: 24(-1 + z) = (5z + 4) * 4 (-1 * 24 + z * 24) = (5z + 4) * 4 (-24 + 24z) = (5z + 4) * 4 Reorder the terms: -24 + 24z = (4 + 5z) * 4 Reorder the terms for easier multiplication: -24 + 24z = 4(4 + 5z) -24 + 24z = (4 * 4 + 5z * 4) -24 + 24z = (16 + 20z) Solving -24 + 24z = 16 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -24 + 24z + -20z = 16 + 20z + -20z Combine like terms: 24z + -20z = 4z -24 + 4z = 16 + 20z + -20z Combine like terms: 20z + -20z = 0 -24 + 4z = 16 + 0 -24 + 4z = 16 Add '24' to each side of the equation. -24 + 24 + 4z = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4z = 16 + 24 4z = 16 + 24 Combine like terms: 16 + 24 = 40 4z = 40 Divide each side by '4'. z = 10 Simplifying z = 10
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