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Simplifying 0.7z + -6 + 0.23z + 4 = 0.3z + -8.3 Reorder the terms: -6 + 4 + 0.7z + 0.23z = 0.3z + -8.3 Combine like terms: -6 + 4 = -2 -2 + 0.7z + 0.23z = 0.3z + -8.3 Combine like terms: 0.7z + 0.23z = 0.93z -2 + 0.93z = 0.3z + -8.3 Reorder the terms: -2 + 0.93z = -8.3 + 0.3z Solving -2 + 0.93z = -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 + 0.93z + -0.3z = -8.3 + 0.3z + -0.3z Combine like terms: 0.93z + -0.3z = 0.63z -2 + 0.63z = -8.3 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 -2 + 0.63z = -8.3 + 0.0 -2 + 0.63z = -8.3 Add '2' to each side of the equation. -2 + 2 + 0.63z = -8.3 + 2 Combine like terms: -2 + 2 = 0 0 + 0.63z = -8.3 + 2 0.63z = -8.3 + 2 Combine like terms: -8.3 + 2 = -6.3 0.63z = -6.3 Divide each side by '0.63'. z = -10 Simplifying z = -10
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