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Simplifying 12z + 1 = 6z + -1 Reorder the terms: 1 + 12z = 6z + -1 Reorder the terms: 1 + 12z = -1 + 6z Solving 1 + 12z = -1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 12z + -6z = -1 + 6z + -6z Combine like terms: 12z + -6z = 6z 1 + 6z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + 6z = -1 + 0 1 + 6z = -1 Add '-1' to each side of the equation. 1 + -1 + 6z = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = -1 + -1 6z = -1 + -1 Combine like terms: -1 + -1 = -2 6z = -2 Divide each side by '6'. z = -0.3333333333 Simplifying z = -0.3333333333
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