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Simplifying 4z + -17 = -32 + z Reorder the terms: -17 + 4z = -32 + z Solving -17 + 4z = -32 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -17 + 4z + -1z = -32 + z + -1z Combine like terms: 4z + -1z = 3z -17 + 3z = -32 + z + -1z Combine like terms: z + -1z = 0 -17 + 3z = -32 + 0 -17 + 3z = -32 Add '17' to each side of the equation. -17 + 17 + 3z = -32 + 17 Combine like terms: -17 + 17 = 0 0 + 3z = -32 + 17 3z = -32 + 17 Combine like terms: -32 + 17 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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