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Simplifying 5z + -24 = 30 + 2z Reorder the terms: -24 + 5z = 30 + 2z Solving -24 + 5z = 30 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -24 + 5z + -2z = 30 + 2z + -2z Combine like terms: 5z + -2z = 3z -24 + 3z = 30 + 2z + -2z Combine like terms: 2z + -2z = 0 -24 + 3z = 30 + 0 -24 + 3z = 30 Add '24' to each side of the equation. -24 + 24 + 3z = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 3z = 30 + 24 3z = 30 + 24 Combine like terms: 30 + 24 = 54 3z = 54 Divide each side by '3'. z = 18 Simplifying z = 18
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