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Simplifying -2 + 6z = -5z + 9 Reorder the terms: -2 + 6z = 9 + -5z Solving -2 + 6z = 9 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -2 + 6z + 5z = 9 + -5z + 5z Combine like terms: 6z + 5z = 11z -2 + 11z = 9 + -5z + 5z Combine like terms: -5z + 5z = 0 -2 + 11z = 9 + 0 -2 + 11z = 9 Add '2' to each side of the equation. -2 + 2 + 11z = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 11z = 9 + 2 11z = 9 + 2 Combine like terms: 9 + 2 = 11 11z = 11 Divide each side by '11'. z = 1 Simplifying z = 1
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