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Simplifying -8 = 0.1z + 0.3z Combine like terms: 0.1z + 0.3z = 0.4z -8 = 0.4z Solving -8 = 0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.4z' to each side of the equation. -8 + -0.4z = 0.4z + -0.4z Combine like terms: 0.4z + -0.4z = 0.0 -8 + -0.4z = 0.0 Add '8' to each side of the equation. -8 + 8 + -0.4z = 0.0 + 8 Combine like terms: -8 + 8 = 0 0 + -0.4z = 0.0 + 8 -0.4z = 0.0 + 8 Combine like terms: 0.0 + 8 = 8 -0.4z = 8 Divide each side by '-0.4'. z = -20 Simplifying z = -20
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