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Simplifying 0.4z + -0.5 = 3.7 Reorder the terms: -0.5 + 0.4z = 3.7 Solving -0.5 + 0.4z = 3.7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.4z = 3.7 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.4z = 3.7 + 0.5 0.4z = 3.7 + 0.5 Combine like terms: 3.7 + 0.5 = 4.2 0.4z = 4.2 Divide each side by '0.4'. z = 10.5 Simplifying z = 10.5
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