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Simplifying 8 + -3z = 7z + -12 Reorder the terms: 8 + -3z = -12 + 7z Solving 8 + -3z = -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. 8 + -3z + -7z = -12 + 7z + -7z Combine like terms: -3z + -7z = -10z 8 + -10z = -12 + 7z + -7z Combine like terms: 7z + -7z = 0 8 + -10z = -12 + 0 8 + -10z = -12 Add '-8' to each side of the equation. 8 + -8 + -10z = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10z = -12 + -8 -10z = -12 + -8 Combine like terms: -12 + -8 = -20 -10z = -20 Divide each side by '-10'. z = 2 Simplifying z = 2
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