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Simplifying 7z + -3(z + 8) = 0 Reorder the terms: 7z + -3(8 + z) = 0 7z + (8 * -3 + z * -3) = 0 7z + (-24 + -3z) = 0 Reorder the terms: -24 + 7z + -3z = 0 Combine like terms: 7z + -3z = 4z -24 + 4z = 0 Solving -24 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4z = 0 + 24 4z = 0 + 24 Combine like terms: 0 + 24 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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