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Simplifying 24z + -35 = 55 + -21z Reorder the terms: -35 + 24z = 55 + -21z Solving -35 + 24z = 55 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. -35 + 24z + 21z = 55 + -21z + 21z Combine like terms: 24z + 21z = 45z -35 + 45z = 55 + -21z + 21z Combine like terms: -21z + 21z = 0 -35 + 45z = 55 + 0 -35 + 45z = 55 Add '35' to each side of the equation. -35 + 35 + 45z = 55 + 35 Combine like terms: -35 + 35 = 0 0 + 45z = 55 + 35 45z = 55 + 35 Combine like terms: 55 + 35 = 90 45z = 90 Divide each side by '45'. z = 2 Simplifying z = 2
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