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Simplifying 19 + -13z = 9 + -2z Solving 19 + -13z = 9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 19 + -13z + 2z = 9 + -2z + 2z Combine like terms: -13z + 2z = -11z 19 + -11z = 9 + -2z + 2z Combine like terms: -2z + 2z = 0 19 + -11z = 9 + 0 19 + -11z = 9 Add '-19' to each side of the equation. 19 + -19 + -11z = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -11z = 9 + -19 -11z = 9 + -19 Combine like terms: 9 + -19 = -10 -11z = -10 Divide each side by '-11'. z = 0.9090909091 Simplifying z = 0.9090909091
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