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Simplifying -27z + -23z = -13 + 19z + -17z Combine like terms: -27z + -23z = -50z -50z = -13 + 19z + -17z Combine like terms: 19z + -17z = 2z -50z = -13 + 2z Solving -50z = -13 + 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. -50z + -2z = -13 + 2z + -2z Combine like terms: -50z + -2z = -52z -52z = -13 + 2z + -2z Combine like terms: 2z + -2z = 0 -52z = -13 + 0 -52z = -13 Divide each side by '-52'. z = 0.25 Simplifying z = 0.25
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