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Simplifying 3(2z + 4) = 6(5x + 2) Reorder the terms: 3(4 + 2z) = 6(5x + 2) (4 * 3 + 2z * 3) = 6(5x + 2) (12 + 6z) = 6(5x + 2) Reorder the terms: 12 + 6z = 6(2 + 5x) 12 + 6z = (2 * 6 + 5x * 6) 12 + 6z = (12 + 30x) Add '-12' to each side of the equation. 12 + -12 + 6z = 12 + -12 + 30x Combine like terms: 12 + -12 = 0 0 + 6z = 12 + -12 + 30x 6z = 12 + -12 + 30x Combine like terms: 12 + -12 = 0 6z = 0 + 30x 6z = 30x Solving 6z = 30x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '6'. z = 5x Simplifying z = 5x
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