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Simplifying 10 + 5z = z + 50 Reorder the terms: 10 + 5z = 50 + z Solving 10 + 5z = 50 + 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 + 5z + -1z = 50 + z + -1z Combine like terms: 5z + -1z = 4z 10 + 4z = 50 + z + -1z Combine like terms: z + -1z = 0 10 + 4z = 50 + 0 10 + 4z = 50 Add '-10' to each side of the equation. 10 + -10 + 4z = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4z = 50 + -10 4z = 50 + -10 Combine like terms: 50 + -10 = 40 4z = 40 Divide each side by '4'. z = 10 Simplifying z = 10
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