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