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Simplifying 4z + -9 = -17 + 3z Reorder the terms: -9 + 4z = -17 + 3z Solving -9 + 4z = -17 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -9 + 4z + -3z = -17 + 3z + -3z Combine like terms: 4z + -3z = 1z -9 + 1z = -17 + 3z + -3z Combine like terms: 3z + -3z = 0 -9 + 1z = -17 + 0 -9 + 1z = -17 Add '9' to each side of the equation. -9 + 9 + 1z = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 1z = -17 + 9 1z = -17 + 9 Combine like terms: -17 + 9 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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