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Simplifying 7z + -27 = -34 + 8z Reorder the terms: -27 + 7z = -34 + 8z Solving -27 + 7z = -34 + 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. -27 + 7z + -8z = -34 + 8z + -8z Combine like terms: 7z + -8z = -1z -27 + -1z = -34 + 8z + -8z Combine like terms: 8z + -8z = 0 -27 + -1z = -34 + 0 -27 + -1z = -34 Add '27' to each side of the equation. -27 + 27 + -1z = -34 + 27 Combine like terms: -27 + 27 = 0 0 + -1z = -34 + 27 -1z = -34 + 27 Combine like terms: -34 + 27 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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