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Simplifying -6.6z + -16.53 + 17.3z = 14.5z + 12.73 Reorder the terms: -16.53 + -6.6z + 17.3z = 14.5z + 12.73 Combine like terms: -6.6z + 17.3z = 10.7z -16.53 + 10.7z = 14.5z + 12.73 Reorder the terms: -16.53 + 10.7z = 12.73 + 14.5z Solving -16.53 + 10.7z = 12.73 + 14.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14.5z' to each side of the equation. -16.53 + 10.7z + -14.5z = 12.73 + 14.5z + -14.5z Combine like terms: 10.7z + -14.5z = -3.8z -16.53 + -3.8z = 12.73 + 14.5z + -14.5z Combine like terms: 14.5z + -14.5z = 0.0 -16.53 + -3.8z = 12.73 + 0.0 -16.53 + -3.8z = 12.73 Add '16.53' to each side of the equation. -16.53 + 16.53 + -3.8z = 12.73 + 16.53 Combine like terms: -16.53 + 16.53 = 0.00 0.00 + -3.8z = 12.73 + 16.53 -3.8z = 12.73 + 16.53 Combine like terms: 12.73 + 16.53 = 29.26 -3.8z = 29.26 Divide each side by '-3.8'. z = -7.7 Simplifying z = -7.7
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