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Simplifying 2z + -13 = -8z + 27 Reorder the terms: -13 + 2z = -8z + 27 Reorder the terms: -13 + 2z = 27 + -8z Solving -13 + 2z = 27 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -13 + 2z + 8z = 27 + -8z + 8z Combine like terms: 2z + 8z = 10z -13 + 10z = 27 + -8z + 8z Combine like terms: -8z + 8z = 0 -13 + 10z = 27 + 0 -13 + 10z = 27 Add '13' to each side of the equation. -13 + 13 + 10z = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 10z = 27 + 13 10z = 27 + 13 Combine like terms: 27 + 13 = 40 10z = 40 Divide each side by '10'. z = 4 Simplifying z = 4
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