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Simplifying 21z + -8 = 17z + -32 Reorder the terms: -8 + 21z = 17z + -32 Reorder the terms: -8 + 21z = -32 + 17z Solving -8 + 21z = -32 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -8 + 21z + -17z = -32 + 17z + -17z Combine like terms: 21z + -17z = 4z -8 + 4z = -32 + 17z + -17z Combine like terms: 17z + -17z = 0 -8 + 4z = -32 + 0 -8 + 4z = -32 Add '8' to each side of the equation. -8 + 8 + 4z = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = -32 + 8 4z = -32 + 8 Combine like terms: -32 + 8 = -24 4z = -24 Divide each side by '4'. z = -6 Simplifying z = -6
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