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Simplifying 12 = 8 + -2z Solving 12 = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 12 + 2z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 12 + 2z = 8 + 0 12 + 2z = 8 Add '-12' to each side of the equation. 12 + -12 + 2z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 8 + -12 2z = 8 + -12 Combine like terms: 8 + -12 = -4 2z = -4 Divide each side by '2'. z = -2 Simplifying z = -2
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