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Simplifying 2(4z + 6) = 4z + 24 Reorder the terms: 2(6 + 4z) = 4z + 24 (6 * 2 + 4z * 2) = 4z + 24 (12 + 8z) = 4z + 24 Reorder the terms: 12 + 8z = 24 + 4z Solving 12 + 8z = 24 + 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. 12 + 8z + -4z = 24 + 4z + -4z Combine like terms: 8z + -4z = 4z 12 + 4z = 24 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + 4z = 24 + 0 12 + 4z = 24 Add '-12' to each side of the equation. 12 + -12 + 4z = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = 24 + -12 4z = 24 + -12 Combine like terms: 24 + -12 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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