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Simplifying 3(z + 8) = 6(z + 4) + 3z Reorder the terms: 3(8 + z) = 6(z + 4) + 3z (8 * 3 + z * 3) = 6(z + 4) + 3z (24 + 3z) = 6(z + 4) + 3z Reorder the terms: 24 + 3z = 6(4 + z) + 3z 24 + 3z = (4 * 6 + z * 6) + 3z 24 + 3z = (24 + 6z) + 3z Combine like terms: 6z + 3z = 9z 24 + 3z = 24 + 9z Add '-24' to each side of the equation. 24 + -24 + 3z = 24 + -24 + 9z Combine like terms: 24 + -24 = 0 0 + 3z = 24 + -24 + 9z 3z = 24 + -24 + 9z Combine like terms: 24 + -24 = 0 3z = 0 + 9z 3z = 9z Solving 3z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 3z + -9z = 9z + -9z Combine like terms: 3z + -9z = -6z -6z = 9z + -9z Combine like terms: 9z + -9z = 0 -6z = 0 Divide each side by '-6'. z = 0 Simplifying z = 0
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