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Simplifying 10z + -5 + 3z = 8z Reorder the terms: -5 + 10z + 3z = 8z Combine like terms: 10z + 3z = 13z -5 + 13z = 8z Solving -5 + 13z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -5 + 13z + -8z = 8z + -8z Combine like terms: 13z + -8z = 5z -5 + 5z = 8z + -8z Combine like terms: 8z + -8z = 0 -5 + 5z = 0 Add '5' to each side of the equation. -5 + 5 + 5z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5z = 0 + 5 5z = 0 + 5 Combine like terms: 0 + 5 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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