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Simplifying 2z + 9 = z + 22 Reorder the terms: 9 + 2z = z + 22 Reorder the terms: 9 + 2z = 22 + z Solving 9 + 2z = 22 + 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. 9 + 2z + -1z = 22 + z + -1z Combine like terms: 2z + -1z = 1z 9 + 1z = 22 + z + -1z Combine like terms: z + -1z = 0 9 + 1z = 22 + 0 9 + 1z = 22 Add '-9' to each side of the equation. 9 + -9 + 1z = 22 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 22 + -9 1z = 22 + -9 Combine like terms: 22 + -9 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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