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Simplifying 8z + -12 = -11 + 7z Reorder the terms: -12 + 8z = -11 + 7z Solving -12 + 8z = -11 + 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 + 8z + -7z = -11 + 7z + -7z Combine like terms: 8z + -7z = 1z -12 + 1z = -11 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + 1z = -11 + 0 -12 + 1z = -11 Add '12' to each side of the equation. -12 + 12 + 1z = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = -11 + 12 1z = -11 + 12 Combine like terms: -11 + 12 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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