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Simplifying -1[9z + -1(20z + 10)] = 10(10z + 1) Reorder the terms: -1[9z + -1(10 + 20z)] = 10(10z + 1) -1[9z + (10 * -1 + 20z * -1)] = 10(10z + 1) -1[9z + (-10 + -20z)] = 10(10z + 1) Reorder the terms: -1[-10 + 9z + -20z] = 10(10z + 1) Combine like terms: 9z + -20z = -11z -1[-10 + -11z] = 10(10z + 1) [-10 * -1 + -11z * -1] = 10(10z + 1) [10 + 11z] = 10(10z + 1) Reorder the terms: 10 + 11z = 10(1 + 10z) 10 + 11z = (1 * 10 + 10z * 10) 10 + 11z = (10 + 100z) Add '-10' to each side of the equation. 10 + -10 + 11z = 10 + -10 + 100z Combine like terms: 10 + -10 = 0 0 + 11z = 10 + -10 + 100z 11z = 10 + -10 + 100z Combine like terms: 10 + -10 = 0 11z = 0 + 100z 11z = 100z Solving 11z = 100z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-100z' to each side of the equation. 11z + -100z = 100z + -100z Combine like terms: 11z + -100z = -89z -89z = 100z + -100z Combine like terms: 100z + -100z = 0 -89z = 0 Divide each side by '-89'. z = 0 Simplifying z = 0
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