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Simplifying -36 + 32z + -32z + -20z = 18z + 25z + 22 + -34 Combine like terms: 32z + -32z = 0 -36 + 0 + -20z = 18z + 25z + 22 + -34 -36 + -20z = 18z + 25z + 22 + -34 Reorder the terms: -36 + -20z = 22 + -34 + 18z + 25z Combine like terms: 22 + -34 = -12 -36 + -20z = -12 + 18z + 25z Combine like terms: 18z + 25z = 43z -36 + -20z = -12 + 43z Solving -36 + -20z = -12 + 43z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-43z' to each side of the equation. -36 + -20z + -43z = -12 + 43z + -43z Combine like terms: -20z + -43z = -63z -36 + -63z = -12 + 43z + -43z Combine like terms: 43z + -43z = 0 -36 + -63z = -12 + 0 -36 + -63z = -12 Add '36' to each side of the equation. -36 + 36 + -63z = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -63z = -12 + 36 -63z = -12 + 36 Combine like terms: -12 + 36 = 24 -63z = 24 Divide each side by '-63'. z = -0.380952381 Simplifying z = -0.380952381
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