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Simplifying 4z + 5 + -2z = 2 + z + 9 Reorder the terms: 5 + 4z + -2z = 2 + z + 9 Combine like terms: 4z + -2z = 2z 5 + 2z = 2 + z + 9 Reorder the terms: 5 + 2z = 2 + 9 + z Combine like terms: 2 + 9 = 11 5 + 2z = 11 + z Solving 5 + 2z = 11 + 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. 5 + 2z + -1z = 11 + z + -1z Combine like terms: 2z + -1z = 1z 5 + 1z = 11 + z + -1z Combine like terms: z + -1z = 0 5 + 1z = 11 + 0 5 + 1z = 11 Add '-5' to each side of the equation. 5 + -5 + 1z = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 11 + -5 1z = 11 + -5 Combine like terms: 11 + -5 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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