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Simplifying z + 1 = 0.5z + 4 Reorder the terms: 1 + z = 0.5z + 4 Reorder the terms: 1 + z = 4 + 0.5z Solving 1 + z = 4 + 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. 1 + z + -0.5z = 4 + 0.5z + -0.5z Combine like terms: z + -0.5z = 0.5z 1 + 0.5z = 4 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 1 + 0.5z = 4 + 0.0 1 + 0.5z = 4 Add '-1' to each side of the equation. 1 + -1 + 0.5z = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5z = 4 + -1 0.5z = 4 + -1 Combine like terms: 4 + -1 = 3 0.5z = 3 Divide each side by '0.5'. z = 6 Simplifying z = 6
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