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Simplifying 10z + 8 = 5z + 28 Reorder the terms: 8 + 10z = 5z + 28 Reorder the terms: 8 + 10z = 28 + 5z Solving 8 + 10z = 28 + 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 = 28 + 5z + -5z Combine like terms: 10z + -5z = 5z 8 + 5z = 28 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + 5z = 28 + 0 8 + 5z = 28 Add '-8' to each side of the equation. 8 + -8 + 5z = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 28 + -8 5z = 28 + -8 Combine like terms: 28 + -8 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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