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Simplifying z + 2 = 9z + -6 Reorder the terms: 2 + z = 9z + -6 Reorder the terms: 2 + z = -6 + 9z Solving 2 + z = -6 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 2 + z + -9z = -6 + 9z + -9z Combine like terms: z + -9z = -8z 2 + -8z = -6 + 9z + -9z Combine like terms: 9z + -9z = 0 2 + -8z = -6 + 0 2 + -8z = -6 Add '-2' to each side of the equation. 2 + -2 + -8z = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8z = -6 + -2 -8z = -6 + -2 Combine like terms: -6 + -2 = -8 -8z = -8 Divide each side by '-8'. z = 1 Simplifying z = 1
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