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Simplifying 6(4z + 2) = 3(8 + 4) Reorder the terms: 6(2 + 4z) = 3(8 + 4) (2 * 6 + 4z * 6) = 3(8 + 4) (12 + 24z) = 3(8 + 4) Combine like terms: 8 + 4 = 12 12 + 24z = 3(12) Multiply 3 * 12 12 + 24z = 36 Solving 12 + 24z = 36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 24z = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 24z = 36 + -12 24z = 36 + -12 Combine like terms: 36 + -12 = 24 24z = 24 Divide each side by '24'. z = 1 Simplifying z = 1
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