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Simplifying 8z + -3 = 4z + 9 + -12z Reorder the terms: -3 + 8z = 4z + 9 + -12z Reorder the terms: -3 + 8z = 9 + 4z + -12z Combine like terms: 4z + -12z = -8z -3 + 8z = 9 + -8z Solving -3 + 8z = 9 + -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. -3 + 8z + 8z = 9 + -8z + 8z Combine like terms: 8z + 8z = 16z -3 + 16z = 9 + -8z + 8z Combine like terms: -8z + 8z = 0 -3 + 16z = 9 + 0 -3 + 16z = 9 Add '3' to each side of the equation. -3 + 3 + 16z = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 16z = 9 + 3 16z = 9 + 3 Combine like terms: 9 + 3 = 12 16z = 12 Divide each side by '16'. z = 0.75 Simplifying z = 0.75
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