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Simplifying 2(4z + 6) = 6z + 16 Reorder the terms: 2(6 + 4z) = 6z + 16 (6 * 2 + 4z * 2) = 6z + 16 (12 + 8z) = 6z + 16 Reorder the terms: 12 + 8z = 16 + 6z Solving 12 + 8z = 16 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + 8z + -6z = 16 + 6z + -6z Combine like terms: 8z + -6z = 2z 12 + 2z = 16 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + 2z = 16 + 0 12 + 2z = 16 Add '-12' to each side of the equation. 12 + -12 + 2z = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 16 + -12 2z = 16 + -12 Combine like terms: 16 + -12 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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