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Simplifying -0.4(5z + 2) = 3.5z Reorder the terms: -0.4(2 + 5z) = 3.5z (2 * -0.4 + 5z * -0.4) = 3.5z (-0.8 + -2z) = 3.5z Solving -0.8 + -2z = 3.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.5z' to each side of the equation. -0.8 + -2z + -3.5z = 3.5z + -3.5z Combine like terms: -2z + -3.5z = -5.5z -0.8 + -5.5z = 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 -0.8 + -5.5z = 0.0 Add '0.8' to each side of the equation. -0.8 + 0.8 + -5.5z = 0.0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -5.5z = 0.0 + 0.8 -5.5z = 0.0 + 0.8 Combine like terms: 0.0 + 0.8 = 0.8 -5.5z = 0.8 Divide each side by '-5.5'. z = -0.1454545455 Simplifying z = -0.1454545455
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