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Simplifying 12 + 6(6z + -2) = 5z + 1 Reorder the terms: 12 + 6(-2 + 6z) = 5z + 1 12 + (-2 * 6 + 6z * 6) = 5z + 1 12 + (-12 + 36z) = 5z + 1 Combine like terms: 12 + -12 = 0 0 + 36z = 5z + 1 36z = 5z + 1 Reorder the terms: 36z = 1 + 5z Solving 36z = 1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 36z + -5z = 1 + 5z + -5z Combine like terms: 36z + -5z = 31z 31z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 31z = 1 + 0 31z = 1 Divide each side by '31'. z = 0.03225806452 Simplifying z = 0.03225806452
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