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Simplifying 3 + -0.5z = z Solving 3 + -0.5z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3 + -0.5z + -1z = z + -1z Combine like terms: -0.5z + -1z = -1.5z 3 + -1.5z = z + -1z Combine like terms: z + -1z = 0 3 + -1.5z = 0 Add '-3' to each side of the equation. 3 + -3 + -1.5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5z = 0 + -3 -1.5z = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5z = -3 Divide each side by '-1.5'. z = 2 Simplifying z = 2
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