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Simplifying 7 + 10z + -5 = 7z + 44 + -4z Reorder the terms: 7 + -5 + 10z = 7z + 44 + -4z Combine like terms: 7 + -5 = 2 2 + 10z = 7z + 44 + -4z Reorder the terms: 2 + 10z = 44 + 7z + -4z Combine like terms: 7z + -4z = 3z 2 + 10z = 44 + 3z Solving 2 + 10z = 44 + 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. 2 + 10z + -3z = 44 + 3z + -3z Combine like terms: 10z + -3z = 7z 2 + 7z = 44 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 7z = 44 + 0 2 + 7z = 44 Add '-2' to each side of the equation. 2 + -2 + 7z = 44 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 44 + -2 7z = 44 + -2 Combine like terms: 44 + -2 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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