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Simplifying 10z + -8 = 5z + 42 Reorder the terms: -8 + 10z = 5z + 42 Reorder the terms: -8 + 10z = 42 + 5z Solving -8 + 10z = 42 + 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. -8 + 10z + -5z = 42 + 5z + -5z Combine like terms: 10z + -5z = 5z -8 + 5z = 42 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + 5z = 42 + 0 -8 + 5z = 42 Add '8' to each side of the equation. -8 + 8 + 5z = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 5z = 42 + 8 5z = 42 + 8 Combine like terms: 42 + 8 = 50 5z = 50 Divide each side by '5'. z = 10 Simplifying z = 10
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