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