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Simplifying 0.5z + 30 = z Reorder the terms: 30 + 0.5z = z Solving 30 + 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. 30 + 0.5z + -1z = z + -1z Combine like terms: 0.5z + -1z = -0.5z 30 + -0.5z = z + -1z Combine like terms: z + -1z = 0 30 + -0.5z = 0 Add '-30' to each side of the equation. 30 + -30 + -0.5z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5z = 0 + -30 -0.5z = 0 + -30 Combine like terms: 0 + -30 = -30 -0.5z = -30 Divide each side by '-0.5'. z = 60 Simplifying z = 60
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