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Simplifying 10 + 2z = 38 + -5z Solving 10 + 2z = 38 + -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 + 2z + 5z = 38 + -5z + 5z Combine like terms: 2z + 5z = 7z 10 + 7z = 38 + -5z + 5z Combine like terms: -5z + 5z = 0 10 + 7z = 38 + 0 10 + 7z = 38 Add '-10' to each side of the equation. 10 + -10 + 7z = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 7z = 38 + -10 7z = 38 + -10 Combine like terms: 38 + -10 = 28 7z = 28 Divide each side by '7'. z = 4 Simplifying z = 4
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