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Simplifying 12 + 10z + -12z = 0 Combine like terms: 10z + -12z = -2z 12 + -2z = 0 Solving 12 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2z = 0 + -12 -2z = 0 + -12 Combine like terms: 0 + -12 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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