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Simplifying 10z + 5 = 2z + 8 Reorder the terms: 5 + 10z = 2z + 8 Reorder the terms: 5 + 10z = 8 + 2z Solving 5 + 10z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 5 + 10z + -2z = 8 + 2z + -2z Combine like terms: 10z + -2z = 8z 5 + 8z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 8z = 8 + 0 5 + 8z = 8 Add '-5' to each side of the equation. 5 + -5 + 8z = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 8z = 8 + -5 8z = 8 + -5 Combine like terms: 8 + -5 = 3 8z = 3 Divide each side by '8'. z = 0.375 Simplifying z = 0.375
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