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Simplifying -10 + -19 + 17z = -9 + 13z + -23z Combine like terms: -10 + -19 = -29 -29 + 17z = -9 + 13z + -23z Combine like terms: 13z + -23z = -10z -29 + 17z = -9 + -10z Solving -29 + 17z = -9 + -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. -29 + 17z + 10z = -9 + -10z + 10z Combine like terms: 17z + 10z = 27z -29 + 27z = -9 + -10z + 10z Combine like terms: -10z + 10z = 0 -29 + 27z = -9 + 0 -29 + 27z = -9 Add '29' to each side of the equation. -29 + 29 + 27z = -9 + 29 Combine like terms: -29 + 29 = 0 0 + 27z = -9 + 29 27z = -9 + 29 Combine like terms: -9 + 29 = 20 27z = 20 Divide each side by '27'. z = 0.7407407407 Simplifying z = 0.7407407407
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