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Simplifying 5z + 7 + -3z = 17 + -9z + 12 Reorder the terms: 7 + 5z + -3z = 17 + -9z + 12 Combine like terms: 5z + -3z = 2z 7 + 2z = 17 + -9z + 12 Reorder the terms: 7 + 2z = 17 + 12 + -9z Combine like terms: 17 + 12 = 29 7 + 2z = 29 + -9z Solving 7 + 2z = 29 + -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. 7 + 2z + 9z = 29 + -9z + 9z Combine like terms: 2z + 9z = 11z 7 + 11z = 29 + -9z + 9z Combine like terms: -9z + 9z = 0 7 + 11z = 29 + 0 7 + 11z = 29 Add '-7' to each side of the equation. 7 + -7 + 11z = 29 + -7 Combine like terms: 7 + -7 = 0 0 + 11z = 29 + -7 11z = 29 + -7 Combine like terms: 29 + -7 = 22 11z = 22 Divide each side by '11'. z = 2 Simplifying z = 2
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