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Simplifying 12 + 6(z + -2) = -32 + 1 Reorder the terms: 12 + 6(-2 + z) = -32 + 1 12 + (-2 * 6 + z * 6) = -32 + 1 12 + (-12 + 6z) = -32 + 1 Combine like terms: 12 + -12 = 0 0 + 6z = -32 + 1 6z = -32 + 1 Combine like terms: -32 + 1 = -31 6z = -31 Solving 6z = -31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '6'. z = -5.166666667 Simplifying z = -5.166666667
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