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Simplifying 2z + -13 = -9z + 24 Reorder the terms: -13 + 2z = -9z + 24 Reorder the terms: -13 + 2z = 24 + -9z Solving -13 + 2z = 24 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -13 + 2z + 9z = 24 + -9z + 9z Combine like terms: 2z + 9z = 11z -13 + 11z = 24 + -9z + 9z Combine like terms: -9z + 9z = 0 -13 + 11z = 24 + 0 -13 + 11z = 24 Add '13' to each side of the equation. -13 + 13 + 11z = 24 + 13 Combine like terms: -13 + 13 = 0 0 + 11z = 24 + 13 11z = 24 + 13 Combine like terms: 24 + 13 = 37 11z = 37 Divide each side by '11'. z = 3.363636364 Simplifying z = 3.363636364
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