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Simplifying 9z + -2 = 38 + z Reorder the terms: -2 + 9z = 38 + z Solving -2 + 9z = 38 + z 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. -2 + 9z + -1z = 38 + z + -1z Combine like terms: 9z + -1z = 8z -2 + 8z = 38 + z + -1z Combine like terms: z + -1z = 0 -2 + 8z = 38 + 0 -2 + 8z = 38 Add '2' to each side of the equation. -2 + 2 + 8z = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 38 + 2 8z = 38 + 2 Combine like terms: 38 + 2 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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