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Simplifying 4(z + 6) = 12z Reorder the terms: 4(6 + z) = 12z (6 * 4 + z * 4) = 12z (24 + 4z) = 12z Solving 24 + 4z = 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 24 + 4z + -12z = 12z + -12z Combine like terms: 4z + -12z = -8z 24 + -8z = 12z + -12z Combine like terms: 12z + -12z = 0 24 + -8z = 0 Add '-24' to each side of the equation. 24 + -24 + -8z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8z = 0 + -24 -8z = 0 + -24 Combine like terms: 0 + -24 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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