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Simplifying 6(z + 2) = 3(8z + 4) Reorder the terms: 6(2 + z) = 3(8z + 4) (2 * 6 + z * 6) = 3(8z + 4) (12 + 6z) = 3(8z + 4) Reorder the terms: 12 + 6z = 3(4 + 8z) 12 + 6z = (4 * 3 + 8z * 3) 12 + 6z = (12 + 24z) Add '-12' to each side of the equation. 12 + -12 + 6z = 12 + -12 + 24z Combine like terms: 12 + -12 = 0 0 + 6z = 12 + -12 + 24z 6z = 12 + -12 + 24z Combine like terms: 12 + -12 = 0 6z = 0 + 24z 6z = 24z Solving 6z = 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 6z + -24z = 24z + -24z Combine like terms: 6z + -24z = -18z -18z = 24z + -24z Combine like terms: 24z + -24z = 0 -18z = 0 Divide each side by '-18'. z = 0 Simplifying z = 0
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