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Simplifying -1[10z + -1(20z + -6)] = 6 + -1(9z + -5) Reorder the terms: -1[10z + -1(-6 + 20z)] = 6 + -1(9z + -5) -1[10z + (-6 * -1 + 20z * -1)] = 6 + -1(9z + -5) -1[10z + (6 + -20z)] = 6 + -1(9z + -5) Reorder the terms: -1[6 + 10z + -20z] = 6 + -1(9z + -5) Combine like terms: 10z + -20z = -10z -1[6 + -10z] = 6 + -1(9z + -5) [6 * -1 + -10z * -1] = 6 + -1(9z + -5) [-6 + 10z] = 6 + -1(9z + -5) Reorder the terms: -6 + 10z = 6 + -1(-5 + 9z) -6 + 10z = 6 + (-5 * -1 + 9z * -1) -6 + 10z = 6 + (5 + -9z) Combine like terms: 6 + 5 = 11 -6 + 10z = 11 + -9z Solving -6 + 10z = 11 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -6 + 10z + 9z = 11 + -9z + 9z Combine like terms: 10z + 9z = 19z -6 + 19z = 11 + -9z + 9z Combine like terms: -9z + 9z = 0 -6 + 19z = 11 + 0 -6 + 19z = 11 Add '6' to each side of the equation. -6 + 6 + 19z = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 19z = 11 + 6 19z = 11 + 6 Combine like terms: 11 + 6 = 17 19z = 17 Divide each side by '19'. z = 0.8947368421 Simplifying z = 0.8947368421
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