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Simplifying -5.6 + 3.2 = 9.6z + -8.6z + -0.2 Combine like terms: -5.6 + 3.2 = -2.4 -2.4 = 9.6z + -8.6z + -0.2 Reorder the terms: -2.4 = -0.2 + 9.6z + -8.6z Combine like terms: 9.6z + -8.6z = 1z -2.4 = -0.2 + 1z Solving -2.4 = -0.2 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -2.4 + -1z = -0.2 + 1z + -1z Combine like terms: 1z + -1z = 0 -2.4 + -1z = -0.2 + 0 -2.4 + -1z = -0.2 Add '2.4' to each side of the equation. -2.4 + 2.4 + -1z = -0.2 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -1z = -0.2 + 2.4 -1z = -0.2 + 2.4 Combine like terms: -0.2 + 2.4 = 2.2 -1z = 2.2 Divide each side by '-1'. z = -2.2 Simplifying z = -2.2
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