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Simplifying 3(4z + 2) = 10 + 4z Reorder the terms: 3(2 + 4z) = 10 + 4z (2 * 3 + 4z * 3) = 10 + 4z (6 + 12z) = 10 + 4z Solving 6 + 12z = 10 + 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. 6 + 12z + -4z = 10 + 4z + -4z Combine like terms: 12z + -4z = 8z 6 + 8z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + 8z = 10 + 0 6 + 8z = 10 Add '-6' to each side of the equation. 6 + -6 + 8z = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 8z = 10 + -6 8z = 10 + -6 Combine like terms: 10 + -6 = 4 8z = 4 Divide each side by '8'. z = 0.5 Simplifying z = 0.5
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