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Simplifying 9 + -2z = 5z + -12 Reorder the terms: 9 + -2z = -12 + 5z Solving 9 + -2z = -12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + -2z + -5z = -12 + 5z + -5z Combine like terms: -2z + -5z = -7z 9 + -7z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + -7z = -12 + 0 9 + -7z = -12 Add '-9' to each side of the equation. 9 + -9 + -7z = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7z = -12 + -9 -7z = -12 + -9 Combine like terms: -12 + -9 = -21 -7z = -21 Divide each side by '-7'. z = 3 Simplifying z = 3
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