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Simplifying 12 + 6(z + -2) = -3z + 8 Reorder the terms: 12 + 6(-2 + z) = -3z + 8 12 + (-2 * 6 + z * 6) = -3z + 8 12 + (-12 + 6z) = -3z + 8 Combine like terms: 12 + -12 = 0 0 + 6z = -3z + 8 6z = -3z + 8 Reorder the terms: 6z = 8 + -3z Solving 6z = 8 + -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 = 8 + -3z + 3z Combine like terms: 6z + 3z = 9z 9z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 9z = 8 + 0 9z = 8 Divide each side by '9'. z = 0.8888888889 Simplifying z = 0.8888888889
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