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Simplifying 3z + -0.5 = 4z Reorder the terms: -0.5 + 3z = 4z Solving -0.5 + 3z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -0.5 + 3z + -4z = 4z + -4z Combine like terms: 3z + -4z = -1z -0.5 + -1z = 4z + -4z Combine like terms: 4z + -4z = 0 -0.5 + -1z = 0 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1z = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1z = 0 + 0.5 -1z = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -1z = 0.5 Divide each side by '-1'. z = -0.5 Simplifying z = -0.5
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