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Simplifying 16.61 + -11.8z + -10.37 = -6.9z + 5.75 Reorder the terms: 16.61 + -10.37 + -11.8z = -6.9z + 5.75 Combine like terms: 16.61 + -10.37 = 6.24 6.24 + -11.8z = -6.9z + 5.75 Reorder the terms: 6.24 + -11.8z = 5.75 + -6.9z Solving 6.24 + -11.8z = 5.75 + -6.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.9z' to each side of the equation. 6.24 + -11.8z + 6.9z = 5.75 + -6.9z + 6.9z Combine like terms: -11.8z + 6.9z = -4.9z 6.24 + -4.9z = 5.75 + -6.9z + 6.9z Combine like terms: -6.9z + 6.9z = 0.0 6.24 + -4.9z = 5.75 + 0.0 6.24 + -4.9z = 5.75 Add '-6.24' to each side of the equation. 6.24 + -6.24 + -4.9z = 5.75 + -6.24 Combine like terms: 6.24 + -6.24 = 0.00 0.00 + -4.9z = 5.75 + -6.24 -4.9z = 5.75 + -6.24 Combine like terms: 5.75 + -6.24 = -0.49 -4.9z = -0.49 Divide each side by '-4.9'. z = 0.1 Simplifying z = 0.1
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