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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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