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Simplifying -5.6z + -0.8 = -1.5z + 3.3 Reorder the terms: -0.8 + -5.6z = -1.5z + 3.3 Reorder the terms: -0.8 + -5.6z = 3.3 + -1.5z Solving -0.8 + -5.6z = 3.3 + -1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.5z' to each side of the equation. -0.8 + -5.6z + 1.5z = 3.3 + -1.5z + 1.5z Combine like terms: -5.6z + 1.5z = -4.1z -0.8 + -4.1z = 3.3 + -1.5z + 1.5z Combine like terms: -1.5z + 1.5z = 0.0 -0.8 + -4.1z = 3.3 + 0.0 -0.8 + -4.1z = 3.3 Add '0.8' to each side of the equation. -0.8 + 0.8 + -4.1z = 3.3 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -4.1z = 3.3 + 0.8 -4.1z = 3.3 + 0.8 Combine like terms: 3.3 + 0.8 = 4.1 -4.1z = 4.1 Divide each side by '-4.1'. z = -1 Simplifying z = -1
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