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Simplifying 5 + 5z + -1 = 9z + 12 + -2z Reorder the terms: 5 + -1 + 5z = 9z + 12 + -2z Combine like terms: 5 + -1 = 4 4 + 5z = 9z + 12 + -2z Reorder the terms: 4 + 5z = 12 + 9z + -2z Combine like terms: 9z + -2z = 7z 4 + 5z = 12 + 7z Solving 4 + 5z = 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. 4 + 5z + -7z = 12 + 7z + -7z Combine like terms: 5z + -7z = -2z 4 + -2z = 12 + 7z + -7z Combine like terms: 7z + -7z = 0 4 + -2z = 12 + 0 4 + -2z = 12 Add '-4' to each side of the equation. 4 + -4 + -2z = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 12 + -4 -2z = 12 + -4 Combine like terms: 12 + -4 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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