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Simplifying 3(2z + 4) = 6(52 + 2) Reorder the terms: 3(4 + 2z) = 6(52 + 2) (4 * 3 + 2z * 3) = 6(52 + 2) (12 + 6z) = 6(52 + 2) Combine like terms: 52 + 2 = 54 12 + 6z = 6(54) Multiply 6 * 54 12 + 6z = 324 Solving 12 + 6z = 324 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 + 6z = 324 + -12 Combine like terms: 12 + -12 = 0 0 + 6z = 324 + -12 6z = 324 + -12 Combine like terms: 324 + -12 = 312 6z = 312 Divide each side by '6'. z = 52 Simplifying z = 52
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