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Simplifying 5 + -10z = 1 + -1z Solving 5 + -10z = 1 + -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 + -10z + z = 1 + -1z + z Combine like terms: -10z + z = -9z 5 + -9z = 1 + -1z + z Combine like terms: -1z + z = 0 5 + -9z = 1 + 0 5 + -9z = 1 Add '-5' to each side of the equation. 5 + -5 + -9z = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -9z = 1 + -5 -9z = 1 + -5 Combine like terms: 1 + -5 = -4 -9z = -4 Divide each side by '-9'. z = 0.4444444444 Simplifying z = 0.4444444444
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