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Simplifying 6(4z + 2) = 2(8z + 4) Reorder the terms: 6(2 + 4z) = 2(8z + 4) (2 * 6 + 4z * 6) = 2(8z + 4) (12 + 24z) = 2(8z + 4) Reorder the terms: 12 + 24z = 2(4 + 8z) 12 + 24z = (4 * 2 + 8z * 2) 12 + 24z = (8 + 16z) Solving 12 + 24z = 8 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 12 + 24z + -16z = 8 + 16z + -16z Combine like terms: 24z + -16z = 8z 12 + 8z = 8 + 16z + -16z Combine like terms: 16z + -16z = 0 12 + 8z = 8 + 0 12 + 8z = 8 Add '-12' to each side of the equation. 12 + -12 + 8z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 8z = 8 + -12 8z = 8 + -12 Combine like terms: 8 + -12 = -4 8z = -4 Divide each side by '8'. z = -0.5 Simplifying z = -0.5
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