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Simplifying z + 10 = z + 50 + 4z Reorder the terms: 10 + z = z + 50 + 4z Reorder the terms: 10 + z = 50 + z + 4z Combine like terms: z + 4z = 5z 10 + z = 50 + 5z Solving 10 + z = 50 + 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. 10 + z + -5z = 50 + 5z + -5z Combine like terms: z + -5z = -4z 10 + -4z = 50 + 5z + -5z Combine like terms: 5z + -5z = 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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