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Simplifying z + -2 = 4 + 9z Reorder the terms: -2 + z = 4 + 9z Solving -2 + z = 4 + 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 = 4 + 9z + -9z Combine like terms: z + -9z = -8z -2 + -8z = 4 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + -8z = 4 + 0 -2 + -8z = 4 Add '2' to each side of the equation. -2 + 2 + -8z = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -8z = 4 + 2 -8z = 4 + 2 Combine like terms: 4 + 2 = 6 -8z = 6 Divide each side by '-8'. z = -0.75 Simplifying z = -0.75
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