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Simplifying z + 3 = -17 + -4z Reorder the terms: 3 + z = -17 + -4z Solving 3 + z = -17 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3 + z + 4z = -17 + -4z + 4z Combine like terms: z + 4z = 5z 3 + 5z = -17 + -4z + 4z Combine like terms: -4z + 4z = 0 3 + 5z = -17 + 0 3 + 5z = -17 Add '-3' to each side of the equation. 3 + -3 + 5z = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = -17 + -3 5z = -17 + -3 Combine like terms: -17 + -3 = -20 5z = -20 Divide each side by '5'. z = -4 Simplifying z = -4
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