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Simplifying 10z + 5 + 3z = 8 + -1z Reorder the terms: 5 + 10z + 3z = 8 + -1z Combine like terms: 10z + 3z = 13z 5 + 13z = 8 + -1z Solving 5 + 13z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 5 + 13z + z = 8 + -1z + z Combine like terms: 13z + z = 14z 5 + 14z = 8 + -1z + z Combine like terms: -1z + z = 0 5 + 14z = 8 + 0 5 + 14z = 8 Add '-5' to each side of the equation. 5 + -5 + 14z = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 14z = 8 + -5 14z = 8 + -5 Combine like terms: 8 + -5 = 3 14z = 3 Divide each side by '14'. z = 0.2142857143 Simplifying z = 0.2142857143
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