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Simplifying -6z + 4z = 2z + 9 + 4z Combine like terms: -6z + 4z = -2z -2z = 2z + 9 + 4z Reorder the terms: -2z = 9 + 2z + 4z Combine like terms: 2z + 4z = 6z -2z = 9 + 6z Solving -2z = 9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -2z + -6z = 9 + 6z + -6z Combine like terms: -2z + -6z = -8z -8z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 -8z = 9 + 0 -8z = 9 Divide each side by '-8'. z = -1.125 Simplifying z = -1.125
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