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Simplifying -10.9z + -10.57 = 18.53 + -9.4z Reorder the terms: -10.57 + -10.9z = 18.53 + -9.4z Solving -10.57 + -10.9z = 18.53 + -9.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9.4z' to each side of the equation. -10.57 + -10.9z + 9.4z = 18.53 + -9.4z + 9.4z Combine like terms: -10.9z + 9.4z = -1.5z -10.57 + -1.5z = 18.53 + -9.4z + 9.4z Combine like terms: -9.4z + 9.4z = 0.0 -10.57 + -1.5z = 18.53 + 0.0 -10.57 + -1.5z = 18.53 Add '10.57' to each side of the equation. -10.57 + 10.57 + -1.5z = 18.53 + 10.57 Combine like terms: -10.57 + 10.57 = 0.00 0.00 + -1.5z = 18.53 + 10.57 -1.5z = 18.53 + 10.57 Combine like terms: 18.53 + 10.57 = 29.1 -1.5z = 29.1 Divide each side by '-1.5'. z = -19.4 Simplifying z = -19.4
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