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