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Simplifying -4(z + 8) = -5z Reorder the terms: -4(8 + z) = -5z (8 * -4 + z * -4) = -5z (-32 + -4z) = -5z Solving -32 + -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. -32 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z -32 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 -32 + 1z = 0 Add '32' to each side of the equation. -32 + 32 + 1z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1z = 0 + 32 1z = 0 + 32 Combine like terms: 0 + 32 = 32 1z = 32 Divide each side by '1'. z = 32 Simplifying z = 32
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