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Simplifying z + 50 = z + 10 + 4z Reorder the terms: 50 + z = z + 10 + 4z Reorder the terms: 50 + z = 10 + z + 4z Combine like terms: z + 4z = 5z 50 + z = 10 + 5z Solving 50 + z = 10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 50 + z + -5z = 10 + 5z + -5z Combine like terms: z + -5z = -4z 50 + -4z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 50 + -4z = 10 + 0 50 + -4z = 10 Add '-50' to each side of the equation. 50 + -50 + -4z = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -4z = 10 + -50 -4z = 10 + -50 Combine like terms: 10 + -50 = -40 -4z = -40 Divide each side by '-4'. z = 10 Simplifying z = 10
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