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Simplifying 12 + -6z = 29 + -1 + -8z Combine like terms: 29 + -1 = 28 12 + -6z = 28 + -8z Solving 12 + -6z = 28 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 12 + -6z + 8z = 28 + -8z + 8z Combine like terms: -6z + 8z = 2z 12 + 2z = 28 + -8z + 8z Combine like terms: -8z + 8z = 0 12 + 2z = 28 + 0 12 + 2z = 28 Add '-12' to each side of the equation. 12 + -12 + 2z = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 28 + -12 2z = 28 + -12 Combine like terms: 28 + -12 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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