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Simplifying 6 + 6z + -1 = 9z + 12 + -2z Reorder the terms: 6 + -1 + 6z = 9z + 12 + -2z Combine like terms: 6 + -1 = 5 5 + 6z = 9z + 12 + -2z Reorder the terms: 5 + 6z = 12 + 9z + -2z Combine like terms: 9z + -2z = 7z 5 + 6z = 12 + 7z Solving 5 + 6z = 12 + 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. 5 + 6z + -7z = 12 + 7z + -7z Combine like terms: 6z + -7z = -1z 5 + -1z = 12 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + -1z = 12 + 0 5 + -1z = 12 Add '-5' to each side of the equation. 5 + -5 + -1z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 12 + -5 -1z = 12 + -5 Combine like terms: 12 + -5 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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