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Simplifying 16.81 + -12.6z + -19.95 = -17.2z + -14.64 Reorder the terms: 16.81 + -19.95 + -12.6z = -17.2z + -14.64 Combine like terms: 16.81 + -19.95 = -3.14 -3.14 + -12.6z = -17.2z + -14.64 Reorder the terms: -3.14 + -12.6z = -14.64 + -17.2z Solving -3.14 + -12.6z = -14.64 + -17.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17.2z' to each side of the equation. -3.14 + -12.6z + 17.2z = -14.64 + -17.2z + 17.2z Combine like terms: -12.6z + 17.2z = 4.6z -3.14 + 4.6z = -14.64 + -17.2z + 17.2z Combine like terms: -17.2z + 17.2z = 0.0 -3.14 + 4.6z = -14.64 + 0.0 -3.14 + 4.6z = -14.64 Add '3.14' to each side of the equation. -3.14 + 3.14 + 4.6z = -14.64 + 3.14 Combine like terms: -3.14 + 3.14 = 0.00 0.00 + 4.6z = -14.64 + 3.14 4.6z = -14.64 + 3.14 Combine like terms: -14.64 + 3.14 = -11.5 4.6z = -11.5 Divide each side by '4.6'. z = -2.5 Simplifying z = -2.5
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