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Simplifying 2z + -15 = -71 + 9z Reorder the terms: -15 + 2z = -71 + 9z Solving -15 + 2z = -71 + 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. -15 + 2z + -9z = -71 + 9z + -9z Combine like terms: 2z + -9z = -7z -15 + -7z = -71 + 9z + -9z Combine like terms: 9z + -9z = 0 -15 + -7z = -71 + 0 -15 + -7z = -71 Add '15' to each side of the equation. -15 + 15 + -7z = -71 + 15 Combine like terms: -15 + 15 = 0 0 + -7z = -71 + 15 -7z = -71 + 15 Combine like terms: -71 + 15 = -56 -7z = -56 Divide each side by '-7'. z = 8 Simplifying z = 8
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