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Simplifying 2z + -3 = 0.5z + 2 Reorder the terms: -3 + 2z = 0.5z + 2 Reorder the terms: -3 + 2z = 2 + 0.5z Solving -3 + 2z = 2 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. -3 + 2z + -0.5z = 2 + 0.5z + -0.5z Combine like terms: 2z + -0.5z = 1.5z -3 + 1.5z = 2 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -3 + 1.5z = 2 + 0.0 -3 + 1.5z = 2 Add '3' to each side of the equation. -3 + 3 + 1.5z = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5z = 2 + 3 1.5z = 2 + 3 Combine like terms: 2 + 3 = 5 1.5z = 5 Divide each side by '1.5'. z = 3.333333333 Simplifying z = 3.333333333
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