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Simplifying 7z + -24 = 6 + z Reorder the terms: -24 + 7z = 6 + z Solving -24 + 7z = 6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -24 + 7z + -1z = 6 + z + -1z Combine like terms: 7z + -1z = 6z -24 + 6z = 6 + z + -1z Combine like terms: z + -1z = 0 -24 + 6z = 6 + 0 -24 + 6z = 6 Add '24' to each side of the equation. -24 + 24 + 6z = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 6z = 6 + 24 6z = 6 + 24 Combine like terms: 6 + 24 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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