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Simplifying 6(4z + 2) = 3(82 + 4) Reorder the terms: 6(2 + 4z) = 3(82 + 4) (2 * 6 + 4z * 6) = 3(82 + 4) (12 + 24z) = 3(82 + 4) Combine like terms: 82 + 4 = 86 12 + 24z = 3(86) Multiply 3 * 86 12 + 24z = 258 Solving 12 + 24z = 258 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 = 258 + -12 Combine like terms: 12 + -12 = 0 0 + 24z = 258 + -12 24z = 258 + -12 Combine like terms: 258 + -12 = 246 24z = 246 Divide each side by '24'. z = 10.25 Simplifying z = 10.25
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