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Simplifying 10 = 12 + -2z Solving 10 = 12 + -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. 10 + 2z = 12 + -2z + 2z Combine like terms: -2z + 2z = 0 10 + 2z = 12 + 0 10 + 2z = 12 Add '-10' to each side of the equation. 10 + -10 + 2z = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = 12 + -10 2z = 12 + -10 Combine like terms: 12 + -10 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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