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Simplifying 6(4 + 2) = 3(8z + 4) Combine like terms: 4 + 2 = 6 6(6) = 3(8z + 4) Multiply 6 * 6 36 = 3(8z + 4) Reorder the terms: 36 = 3(4 + 8z) 36 = (4 * 3 + 8z * 3) 36 = (12 + 24z) Solving 36 = 12 + 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. 36 + -24z = 12 + 24z + -24z Combine like terms: 24z + -24z = 0 36 + -24z = 12 + 0 36 + -24z = 12 Add '-36' to each side of the equation. 36 + -36 + -24z = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -24z = 12 + -36 -24z = 12 + -36 Combine like terms: 12 + -36 = -24 -24z = -24 Divide each side by '-24'. z = 1 Simplifying z = 1
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