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Simplifying 7 + 12z + -5 = 9z + 42 + -7z Reorder the terms: 7 + -5 + 12z = 9z + 42 + -7z Combine like terms: 7 + -5 = 2 2 + 12z = 9z + 42 + -7z Reorder the terms: 2 + 12z = 42 + 9z + -7z Combine like terms: 9z + -7z = 2z 2 + 12z = 42 + 2z Solving 2 + 12z = 42 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 2 + 12z + -2z = 42 + 2z + -2z Combine like terms: 12z + -2z = 10z 2 + 10z = 42 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 10z = 42 + 0 2 + 10z = 42 Add '-2' to each side of the equation. 2 + -2 + 10z = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 10z = 42 + -2 10z = 42 + -2 Combine like terms: 42 + -2 = 40 10z = 40 Divide each side by '10'. z = 4 Simplifying z = 4
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