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Simplifying 0.16 + -8.5z = -11.6z + -15.65 Reorder the terms: 0.16 + -8.5z = -15.65 + -11.6z Solving 0.16 + -8.5z = -15.65 + -11.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11.6z' to each side of the equation. 0.16 + -8.5z + 11.6z = -15.65 + -11.6z + 11.6z Combine like terms: -8.5z + 11.6z = 3.1z 0.16 + 3.1z = -15.65 + -11.6z + 11.6z Combine like terms: -11.6z + 11.6z = 0.0 0.16 + 3.1z = -15.65 + 0.0 0.16 + 3.1z = -15.65 Add '-0.16' to each side of the equation. 0.16 + -0.16 + 3.1z = -15.65 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 3.1z = -15.65 + -0.16 3.1z = -15.65 + -0.16 Combine like terms: -15.65 + -0.16 = -15.81 3.1z = -15.81 Divide each side by '3.1'. z = -5.1 Simplifying z = -5.1
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