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Simplifying 10z + -30 = 5z + 10 Reorder the terms: -30 + 10z = 5z + 10 Reorder the terms: -30 + 10z = 10 + 5z Solving -30 + 10z = 10 + 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. -30 + 10z + -5z = 10 + 5z + -5z Combine like terms: 10z + -5z = 5z -30 + 5z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 -30 + 5z = 10 + 0 -30 + 5z = 10 Add '30' to each side of the equation. -30 + 30 + 5z = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 5z = 10 + 30 5z = 10 + 30 Combine like terms: 10 + 30 = 40 5z = 40 Divide each side by '5'. z = 8 Simplifying z = 8
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