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Simplifying -5 + 2 + 3z + -9z = 0 Combine like terms: -5 + 2 = -3 -3 + 3z + -9z = 0 Combine like terms: 3z + -9z = -6z -3 + -6z = 0 Solving -3 + -6z = 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 + -6z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6z = 0 + 3 -6z = 0 + 3 Combine like terms: 0 + 3 = 3 -6z = 3 Divide each side by '-6'. z = -0.5 Simplifying z = -0.5
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