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Simplifying 11z + -12 = 7z + 8 Reorder the terms: -12 + 11z = 7z + 8 Reorder the terms: -12 + 11z = 8 + 7z Solving -12 + 11z = 8 + 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. -12 + 11z + -7z = 8 + 7z + -7z Combine like terms: 11z + -7z = 4z -12 + 4z = 8 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + 4z = 8 + 0 -12 + 4z = 8 Add '12' to each side of the equation. -12 + 12 + 4z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4z = 8 + 12 4z = 8 + 12 Combine like terms: 8 + 12 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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