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Simplifying 7z + -24 = -27 + 8z Reorder the terms: -24 + 7z = -27 + 8z Solving -24 + 7z = -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. -24 + 7z + -8z = -27 + 8z + -8z Combine like terms: 7z + -8z = -1z -24 + -1z = -27 + 8z + -8z Combine like terms: 8z + -8z = 0 -24 + -1z = -27 + 0 -24 + -1z = -27 Add '24' to each side of the equation. -24 + 24 + -1z = -27 + 24 Combine like terms: -24 + 24 = 0 0 + -1z = -27 + 24 -1z = -27 + 24 Combine like terms: -27 + 24 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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