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Simplifying -24 = 4(z + 5) Reorder the terms: -24 = 4(5 + z) -24 = (5 * 4 + z * 4) -24 = (20 + 4z) Solving -24 = 20 + 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 + -4z = 20 + 4z + -4z Combine like terms: 4z + -4z = 0 -24 + -4z = 20 + 0 -24 + -4z = 20 Add '24' to each side of the equation. -24 + 24 + -4z = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -4z = 20 + 24 -4z = 20 + 24 Combine like terms: 20 + 24 = 44 -4z = 44 Divide each side by '-4'. z = -11 Simplifying z = -11
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