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Simplifying 7z + 10 = 3z + 50 Reorder the terms: 10 + 7z = 3z + 50 Reorder the terms: 10 + 7z = 50 + 3z Solving 10 + 7z = 50 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 10 + 7z + -3z = 50 + 3z + -3z Combine like terms: 7z + -3z = 4z 10 + 4z = 50 + 3z + -3z Combine like terms: 3z + -3z = 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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