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Simplifying 27 + 7z = -6z + 28z + -23 Reorder the terms: 27 + 7z = -23 + -6z + 28z Combine like terms: -6z + 28z = 22z 27 + 7z = -23 + 22z Solving 27 + 7z = -23 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. 27 + 7z + -22z = -23 + 22z + -22z Combine like terms: 7z + -22z = -15z 27 + -15z = -23 + 22z + -22z Combine like terms: 22z + -22z = 0 27 + -15z = -23 + 0 27 + -15z = -23 Add '-27' to each side of the equation. 27 + -27 + -15z = -23 + -27 Combine like terms: 27 + -27 = 0 0 + -15z = -23 + -27 -15z = -23 + -27 Combine like terms: -23 + -27 = -50 -15z = -50 Divide each side by '-15'. z = 3.333333333 Simplifying z = 3.333333333
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