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Simplifying -1(8z + -1(19z + 2)) = 2(10z + 3) Reorder the terms: -1(8z + -1(2 + 19z)) = 2(10z + 3) -1(8z + (2 * -1 + 19z * -1)) = 2(10z + 3) -1(8z + (-2 + -19z)) = 2(10z + 3) Reorder the terms: -1(-2 + 8z + -19z) = 2(10z + 3) Combine like terms: 8z + -19z = -11z -1(-2 + -11z) = 2(10z + 3) (-2 * -1 + -11z * -1) = 2(10z + 3) (2 + 11z) = 2(10z + 3) Reorder the terms: 2 + 11z = 2(3 + 10z) 2 + 11z = (3 * 2 + 10z * 2) 2 + 11z = (6 + 20z) Solving 2 + 11z = 6 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 2 + 11z + -20z = 6 + 20z + -20z Combine like terms: 11z + -20z = -9z 2 + -9z = 6 + 20z + -20z Combine like terms: 20z + -20z = 0 2 + -9z = 6 + 0 2 + -9z = 6 Add '-2' to each side of the equation. 2 + -2 + -9z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -9z = 6 + -2 -9z = 6 + -2 Combine like terms: 6 + -2 = 4 -9z = 4 Divide each side by '-9'. z = -0.4444444444 Simplifying z = -0.4444444444
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