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Simplifying (2z + -1(13z + 2)) = 2 + (10z + 0) Reorder the terms: (2z + -1(2 + 13z)) = 2 + (10z + 0) (2z + (2 * -1 + 13z * -1)) = 2 + (10z + 0) (2z + (-2 + -13z)) = 2 + (10z + 0) Reorder the terms: (-2 + 2z + -13z) = 2 + (10z + 0) Combine like terms: 2z + -13z = -11z (-2 + -11z) = 2 + (10z + 0) Remove parenthesis around (-2 + -11z) -2 + -11z = 2 + (10z + 0) Reorder the terms: -2 + -11z = 2 + (0 + 10z) Remove the zero: -2 + -11z = 2 + (10z) -2 + -11z = 2 + (10z) Solving -2 + -11z = 2 + (10z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-10z)' to each side of the equation. -2 + -11z + (-10z) = 2 + (10z) + (-10z) Combine like terms: -11z + (-10z) = -21z -2 + -21z = 2 + (10z) + (-10z) Combine like terms: (10z) + (-10z) = 0 -2 + -21z = 2 + 0 -2 + -21z = 2 Add '2' to each side of the equation. -2 + 2 + -21z = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -21z = 2 + 2 -21z = 2 + 2 Combine like terms: 2 + 2 = 4 -21z = 4 Divide each side by '-21'. z = -0.1904761905 Simplifying z = -0.1904761905
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