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Simplifying 0.5z + 2 + 0.5z = 12 + -3z Reorder the terms: 2 + 0.5z + 0.5z = 12 + -3z Combine like terms: 0.5z + 0.5z = 1z 2 + 1z = 12 + -3z Solving 2 + 1z = 12 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2 + 1z + 3z = 12 + -3z + 3z Combine like terms: 1z + 3z = 4z 2 + 4z = 12 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 4z = 12 + 0 2 + 4z = 12 Add '-2' to each side of the equation. 2 + -2 + 4z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = 12 + -2 4z = 12 + -2 Combine like terms: 12 + -2 = 10 4z = 10 Divide each side by '4'. z = 2.5 Simplifying z = 2.5
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