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Simplifying -9 + -5z = 2z + -6 + -1z Reorder the terms: -9 + -5z = -6 + 2z + -1z Combine like terms: 2z + -1z = 1z -9 + -5z = -6 + 1z Solving -9 + -5z = -6 + 1z 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. -9 + -5z + -1z = -6 + 1z + -1z Combine like terms: -5z + -1z = -6z -9 + -6z = -6 + 1z + -1z Combine like terms: 1z + -1z = 0 -9 + -6z = -6 + 0 -9 + -6z = -6 Add '9' to each side of the equation. -9 + 9 + -6z = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -6z = -6 + 9 -6z = -6 + 9 Combine like terms: -6 + 9 = 3 -6z = 3 Divide each side by '-6'. z = -0.5 Simplifying z = -0.5
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