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Simplifying -3.9 + -6z + -6.4 + -1z = -6z + 8.9 Reorder the terms: -3.9 + -6.4 + -6z + -1z = -6z + 8.9 Combine like terms: -3.9 + -6.4 = -10.3 -10.3 + -6z + -1z = -6z + 8.9 Combine like terms: -6z + -1z = -7z -10.3 + -7z = -6z + 8.9 Reorder the terms: -10.3 + -7z = 8.9 + -6z Solving -10.3 + -7z = 8.9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -10.3 + -7z + 6z = 8.9 + -6z + 6z Combine like terms: -7z + 6z = -1z -10.3 + -1z = 8.9 + -6z + 6z Combine like terms: -6z + 6z = 0 -10.3 + -1z = 8.9 + 0 -10.3 + -1z = 8.9 Add '10.3' to each side of the equation. -10.3 + 10.3 + -1z = 8.9 + 10.3 Combine like terms: -10.3 + 10.3 = 0.0 0.0 + -1z = 8.9 + 10.3 -1z = 8.9 + 10.3 Combine like terms: 8.9 + 10.3 = 19.2 -1z = 19.2 Divide each side by '-1'. z = -19.2 Simplifying z = -19.2
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