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Simplifying 3z + 24 = -7z Reorder the terms: 24 + 3z = -7z Solving 24 + 3z = -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 24 + 3z + 7z = -7z + 7z Combine like terms: 3z + 7z = 10z 24 + 10z = -7z + 7z Combine like terms: -7z + 7z = 0 24 + 10z = 0 Add '-24' to each side of the equation. 24 + -24 + 10z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10z = 0 + -24 10z = 0 + -24 Combine like terms: 0 + -24 = -24 10z = -24 Divide each side by '10'. z = -2.4 Simplifying z = -2.4
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