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Simplifying 5z + -0.4 = 6z Reorder the terms: -0.4 + 5z = 6z Solving -0.4 + 5z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -0.4 + 5z + -6z = 6z + -6z Combine like terms: 5z + -6z = -1z -0.4 + -1z = 6z + -6z Combine like terms: 6z + -6z = 0 -0.4 + -1z = 0 Add '0.4' to each side of the equation. -0.4 + 0.4 + -1z = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -1z = 0 + 0.4 -1z = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 -1z = 0.4 Divide each side by '-1'. z = -0.4 Simplifying z = -0.4
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