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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 = 13 14z = 13 Divide each side by '14'. z = 0.9285714286 Simplifying z = 0.9285714286
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