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Simplifying 12 + 6(z + -2) = 3z + 2 Reorder the terms: 12 + 6(-2 + z) = 3z + 2 12 + (-2 * 6 + z * 6) = 3z + 2 12 + (-12 + 6z) = 3z + 2 Combine like terms: 12 + -12 = 0 0 + 6z = 3z + 2 6z = 3z + 2 Reorder the terms: 6z = 2 + 3z Solving 6z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 6z + -3z = 2 + 3z + -3z Combine like terms: 6z + -3z = 3z 3z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 3z = 2 + 0 3z = 2 Divide each side by '3'. z = 0.6666666667 Simplifying z = 0.6666666667
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