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Simplifying 10z + -5 + -3z = 8 + -1z Reorder the terms: -5 + 10z + -3z = 8 + -1z Combine like terms: 10z + -3z = 7z -5 + 7z = 8 + -1z Solving -5 + 7z = 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 + 7z + z = 8 + -1z + z Combine like terms: 7z + z = 8z -5 + 8z = 8 + -1z + z Combine like terms: -1z + z = 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 = 13 8z = 13 Divide each side by '8'. z = 1.625 Simplifying z = 1.625
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