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Simplifying 12.3z + 15.08 = -9.4z + -17.9 + 12z Reorder the terms: 15.08 + 12.3z = -9.4z + -17.9 + 12z Reorder the terms: 15.08 + 12.3z = -17.9 + -9.4z + 12z Combine like terms: -9.4z + 12z = 2.6z 15.08 + 12.3z = -17.9 + 2.6z Solving 15.08 + 12.3z = -17.9 + 2.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.6z' to each side of the equation. 15.08 + 12.3z + -2.6z = -17.9 + 2.6z + -2.6z Combine like terms: 12.3z + -2.6z = 9.7z 15.08 + 9.7z = -17.9 + 2.6z + -2.6z Combine like terms: 2.6z + -2.6z = 0.0 15.08 + 9.7z = -17.9 + 0.0 15.08 + 9.7z = -17.9 Add '-15.08' to each side of the equation. 15.08 + -15.08 + 9.7z = -17.9 + -15.08 Combine like terms: 15.08 + -15.08 = 0.00 0.00 + 9.7z = -17.9 + -15.08 9.7z = -17.9 + -15.08 Combine like terms: -17.9 + -15.08 = -32.98 9.7z = -32.98 Divide each side by '9.7'. z = -3.4 Simplifying z = -3.4
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