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Simplifying -8.1z + 8.9(-1.3z + -7.7) = 0 Reorder the terms: -8.1z + 8.9(-7.7 + -1.3z) = 0 -8.1z + (-7.7 * 8.9 + -1.3z * 8.9) = 0 -8.1z + (-68.53 + -11.57z) = 0 Reorder the terms: -68.53 + -8.1z + -11.57z = 0 Combine like terms: -8.1z + -11.57z = -19.67z -68.53 + -19.67z = 0 Solving -68.53 + -19.67z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '68.53' to each side of the equation. -68.53 + 68.53 + -19.67z = 0 + 68.53 Combine like terms: -68.53 + 68.53 = 0.00 0.00 + -19.67z = 0 + 68.53 -19.67z = 0 + 68.53 Combine like terms: 0 + 68.53 = 68.53 -19.67z = 68.53 Divide each side by '-19.67'. z = -3.483985765 Simplifying z = -3.483985765
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