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Simplifying 5.1z + -6.6 = 2.4 + -0.9z Reorder the terms: -6.6 + 5.1z = 2.4 + -0.9z Solving -6.6 + 5.1z = 2.4 + -0.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.9z' to each side of the equation. -6.6 + 5.1z + 0.9z = 2.4 + -0.9z + 0.9z Combine like terms: 5.1z + 0.9z = 6z -6.6 + 6z = 2.4 + -0.9z + 0.9z Combine like terms: -0.9z + 0.9z = 0.0 -6.6 + 6z = 2.4 + 0.0 -6.6 + 6z = 2.4 Add '6.6' to each side of the equation. -6.6 + 6.6 + 6z = 2.4 + 6.6 Combine like terms: -6.6 + 6.6 = 0.0 0.0 + 6z = 2.4 + 6.6 6z = 2.4 + 6.6 Combine like terms: 2.4 + 6.6 = 9 6z = 9 Divide each side by '6'. z = 1.5 Simplifying z = 1.5
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