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Simplifying 5 + 15z + -3 = 9z + 34 + -2z Reorder the terms: 5 + -3 + 15z = 9z + 34 + -2z Combine like terms: 5 + -3 = 2 2 + 15z = 9z + 34 + -2z Reorder the terms: 2 + 15z = 34 + 9z + -2z Combine like terms: 9z + -2z = 7z 2 + 15z = 34 + 7z Solving 2 + 15z = 34 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 2 + 15z + -7z = 34 + 7z + -7z Combine like terms: 15z + -7z = 8z 2 + 8z = 34 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + 8z = 34 + 0 2 + 8z = 34 Add '-2' to each side of the equation. 2 + -2 + 8z = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 8z = 34 + -2 8z = 34 + -2 Combine like terms: 34 + -2 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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