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Simplifying -5.3 = 9.3z + -8.3z + -7.2 Reorder the terms: -5.3 = -7.2 + 9.3z + -8.3z Combine like terms: 9.3z + -8.3z = 1z -5.3 = -7.2 + 1z Solving -5.3 = -7.2 + 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. -5.3 + -1z = -7.2 + 1z + -1z Combine like terms: 1z + -1z = 0 -5.3 + -1z = -7.2 + 0 -5.3 + -1z = -7.2 Add '5.3' to each side of the equation. -5.3 + 5.3 + -1z = -7.2 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + -1z = -7.2 + 5.3 -1z = -7.2 + 5.3 Combine like terms: -7.2 + 5.3 = -1.9 -1z = -1.9 Divide each side by '-1'. z = 1.9 Simplifying z = 1.9
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