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Simplifying 24z + -32 = -6z + 118 Reorder the terms: -32 + 24z = -6z + 118 Reorder the terms: -32 + 24z = 118 + -6z Solving -32 + 24z = 118 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -32 + 24z + 6z = 118 + -6z + 6z Combine like terms: 24z + 6z = 30z -32 + 30z = 118 + -6z + 6z Combine like terms: -6z + 6z = 0 -32 + 30z = 118 + 0 -32 + 30z = 118 Add '32' to each side of the equation. -32 + 32 + 30z = 118 + 32 Combine like terms: -32 + 32 = 0 0 + 30z = 118 + 32 30z = 118 + 32 Combine like terms: 118 + 32 = 150 30z = 150 Divide each side by '30'. z = 5 Simplifying z = 5
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