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Simplifying 10z + 10 = 10 + -1z Reorder the terms: 10 + 10z = 10 + -1z Add '-10' to each side of the equation. 10 + -10 + 10z = 10 + -10 + -1z Combine like terms: 10 + -10 = 0 0 + 10z = 10 + -10 + -1z 10z = 10 + -10 + -1z Combine like terms: 10 + -10 = 0 10z = 0 + -1z 10z = -1z Solving 10z = -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. 10z + z = -1z + z Combine like terms: 10z + z = 11z 11z = -1z + z Combine like terms: -1z + z = 0 11z = 0 Divide each side by '11'. z = 0 Simplifying z = 0
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