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Simplifying -8.3 + -4.6 = 5.3z + -4.3z + -9.2 Combine like terms: -8.3 + -4.6 = -12.9 -12.9 = 5.3z + -4.3z + -9.2 Reorder the terms: -12.9 = -9.2 + 5.3z + -4.3z Combine like terms: 5.3z + -4.3z = 1z -12.9 = -9.2 + 1z Solving -12.9 = -9.2 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -12.9 + -1z = -9.2 + 1z + -1z Combine like terms: 1z + -1z = 0 -12.9 + -1z = -9.2 + 0 -12.9 + -1z = -9.2 Add '12.9' to each side of the equation. -12.9 + 12.9 + -1z = -9.2 + 12.9 Combine like terms: -12.9 + 12.9 = 0.0 0.0 + -1z = -9.2 + 12.9 -1z = -9.2 + 12.9 Combine like terms: -9.2 + 12.9 = 3.7 -1z = 3.7 Divide each side by '-1'. z = -3.7 Simplifying z = -3.7
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