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Simplifying -3.89 + 6.6z + 12.9z = -5.71 + 19.4z Combine like terms: 6.6z + 12.9z = 19.5z -3.89 + 19.5z = -5.71 + 19.4z Solving -3.89 + 19.5z = -5.71 + 19.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19.4z' to each side of the equation. -3.89 + 19.5z + -19.4z = -5.71 + 19.4z + -19.4z Combine like terms: 19.5z + -19.4z = 0.1z -3.89 + 0.1z = -5.71 + 19.4z + -19.4z Combine like terms: 19.4z + -19.4z = 0.0 -3.89 + 0.1z = -5.71 + 0.0 -3.89 + 0.1z = -5.71 Add '3.89' to each side of the equation. -3.89 + 3.89 + 0.1z = -5.71 + 3.89 Combine like terms: -3.89 + 3.89 = 0.00 0.00 + 0.1z = -5.71 + 3.89 0.1z = -5.71 + 3.89 Combine like terms: -5.71 + 3.89 = -1.82 0.1z = -1.82 Divide each side by '0.1'. z = -18.2 Simplifying z = -18.2
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