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Simplifying 4(4z + -6) = 12 + 4z Reorder the terms: 4(-6 + 4z) = 12 + 4z (-6 * 4 + 4z * 4) = 12 + 4z (-24 + 16z) = 12 + 4z Solving -24 + 16z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -24 + 16z + -4z = 12 + 4z + -4z Combine like terms: 16z + -4z = 12z -24 + 12z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 -24 + 12z = 12 + 0 -24 + 12z = 12 Add '24' to each side of the equation. -24 + 24 + 12z = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 12z = 12 + 24 12z = 12 + 24 Combine like terms: 12 + 24 = 36 12z = 36 Divide each side by '12'. z = 3 Simplifying z = 3
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