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Simplifying -4(z + 6) = -5z Reorder the terms: -4(6 + z) = -5z (6 * -4 + z * -4) = -5z (-24 + -4z) = -5z Solving -24 + -4z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -24 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z -24 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 -24 + 1z = 0 Add '24' to each side of the equation. -24 + 24 + 1z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1z = 0 + 24 1z = 0 + 24 Combine like terms: 0 + 24 = 24 1z = 24 Divide each side by '1'. z = 24 Simplifying z = 24
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