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Simplifying 4(z + -8) = 3z Reorder the terms: 4(-8 + z) = 3z (-8 * 4 + z * 4) = 3z (-32 + 4z) = 3z Solving -32 + 4z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -32 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z -32 + 1z = 3z + -3z Combine like terms: 3z + -3z = 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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