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Simplifying 0.7z + -6 + 0.32z + 4 = 0.3z + -8.3 Reorder the terms: -6 + 4 + 0.7z + 0.32z = 0.3z + -8.3 Combine like terms: -6 + 4 = -2 -2 + 0.7z + 0.32z = 0.3z + -8.3 Combine like terms: 0.7z + 0.32z = 1.02z -2 + 1.02z = 0.3z + -8.3 Reorder the terms: -2 + 1.02z = -8.3 + 0.3z Solving -2 + 1.02z = -8.3 + 0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.3z' to each side of the equation. -2 + 1.02z + -0.3z = -8.3 + 0.3z + -0.3z Combine like terms: 1.02z + -0.3z = 0.72z -2 + 0.72z = -8.3 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 -2 + 0.72z = -8.3 + 0.0 -2 + 0.72z = -8.3 Add '2' to each side of the equation. -2 + 2 + 0.72z = -8.3 + 2 Combine like terms: -2 + 2 = 0 0 + 0.72z = -8.3 + 2 0.72z = -8.3 + 2 Combine like terms: -8.3 + 2 = -6.3 0.72z = -6.3 Divide each side by '0.72'. z = -8.75 Simplifying z = -8.75
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