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Simplifying 12z + -4 + -3z + 18 = 6z + 6 Reorder the terms: -4 + 18 + 12z + -3z = 6z + 6 Combine like terms: -4 + 18 = 14 14 + 12z + -3z = 6z + 6 Combine like terms: 12z + -3z = 9z 14 + 9z = 6z + 6 Reorder the terms: 14 + 9z = 6 + 6z Solving 14 + 9z = 6 + 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. 14 + 9z + -6z = 6 + 6z + -6z Combine like terms: 9z + -6z = 3z 14 + 3z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 14 + 3z = 6 + 0 14 + 3z = 6 Add '-14' to each side of the equation. 14 + -14 + 3z = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 3z = 6 + -14 3z = 6 + -14 Combine like terms: 6 + -14 = -8 3z = -8 Divide each side by '3'. z = -2.666666667 Simplifying z = -2.666666667
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