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