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Simplifying 5z + 9 + -2z = 7 + 2z + 10 Reorder the terms: 9 + 5z + -2z = 7 + 2z + 10 Combine like terms: 5z + -2z = 3z 9 + 3z = 7 + 2z + 10 Reorder the terms: 9 + 3z = 7 + 10 + 2z Combine like terms: 7 + 10 = 17 9 + 3z = 17 + 2z Solving 9 + 3z = 17 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 9 + 3z + -2z = 17 + 2z + -2z Combine like terms: 3z + -2z = 1z 9 + 1z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 9 + 1z = 17 + 0 9 + 1z = 17 Add '-9' to each side of the equation. 9 + -9 + 1z = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 17 + -9 1z = 17 + -9 Combine like terms: 17 + -9 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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