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Simplifying 0.5z + 10 = z + 4 Reorder the terms: 10 + 0.5z = z + 4 Reorder the terms: 10 + 0.5z = 4 + z Solving 10 + 0.5z = 4 + 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. 10 + 0.5z + -1z = 4 + z + -1z Combine like terms: 0.5z + -1z = -0.5z 10 + -0.5z = 4 + z + -1z Combine like terms: z + -1z = 0 10 + -0.5z = 4 + 0 10 + -0.5z = 4 Add '-10' to each side of the equation. 10 + -10 + -0.5z = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5z = 4 + -10 -0.5z = 4 + -10 Combine like terms: 4 + -10 = -6 -0.5z = -6 Divide each side by '-0.5'. z = 12 Simplifying z = 12
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