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Simplifying 4(z + 6) = 3z Reorder the terms: 4(6 + z) = 3z (6 * 4 + z * 4) = 3z (24 + 4z) = 3z Solving 24 + 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. 24 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z 24 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 24 + 1z = 0 Add '-24' to each side of the equation. 24 + -24 + 1z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1z = 0 + -24 1z = 0 + -24 Combine like terms: 0 + -24 = -24 1z = -24 Divide each side by '1'. z = -24 Simplifying z = -24
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