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Simplifying -0.7z + -2.4 = 0.9z + 5.6 Reorder the terms: -2.4 + -0.7z = 0.9z + 5.6 Reorder the terms: -2.4 + -0.7z = 5.6 + 0.9z Solving -2.4 + -0.7z = 5.6 + 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. -2.4 + -0.7z + -0.9z = 5.6 + 0.9z + -0.9z Combine like terms: -0.7z + -0.9z = -1.6z -2.4 + -1.6z = 5.6 + 0.9z + -0.9z Combine like terms: 0.9z + -0.9z = 0.0 -2.4 + -1.6z = 5.6 + 0.0 -2.4 + -1.6z = 5.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + -1.6z = 5.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -1.6z = 5.6 + 2.4 -1.6z = 5.6 + 2.4 Combine like terms: 5.6 + 2.4 = 8 -1.6z = 8 Divide each side by '-1.6'. z = -5 Simplifying z = -5
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