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Simplifying 9.6z + -4.2 = 14.7 + 6.9z Reorder the terms: -4.2 + 9.6z = 14.7 + 6.9z Solving -4.2 + 9.6z = 14.7 + 6.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.9z' to each side of the equation. -4.2 + 9.6z + -6.9z = 14.7 + 6.9z + -6.9z Combine like terms: 9.6z + -6.9z = 2.7z -4.2 + 2.7z = 14.7 + 6.9z + -6.9z Combine like terms: 6.9z + -6.9z = 0.0 -4.2 + 2.7z = 14.7 + 0.0 -4.2 + 2.7z = 14.7 Add '4.2' to each side of the equation. -4.2 + 4.2 + 2.7z = 14.7 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 2.7z = 14.7 + 4.2 2.7z = 14.7 + 4.2 Combine like terms: 14.7 + 4.2 = 18.9 2.7z = 18.9 Divide each side by '2.7'. z = 7 Simplifying z = 7
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