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Simplifying 4z + -9 + -1z + 6 = 0 Reorder the terms: -9 + 6 + 4z + -1z = 0 Combine like terms: -9 + 6 = -3 -3 + 4z + -1z = 0 Combine like terms: 4z + -1z = 3z -3 + 3z = 0 Solving -3 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 0 + 3 3z = 0 + 3 Combine like terms: 0 + 3 = 3 3z = 3 Divide each side by '3'. z = 1 Simplifying z = 1
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