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Simplifying 12(z + -2) = 3z + 1 Reorder the terms: 12(-2 + z) = 3z + 1 (-2 * 12 + z * 12) = 3z + 1 (-24 + 12z) = 3z + 1 Reorder the terms: -24 + 12z = 1 + 3z Solving -24 + 12z = 1 + 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. -24 + 12z + -3z = 1 + 3z + -3z Combine like terms: 12z + -3z = 9z -24 + 9z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -24 + 9z = 1 + 0 -24 + 9z = 1 Add '24' to each side of the equation. -24 + 24 + 9z = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 9z = 1 + 24 9z = 1 + 24 Combine like terms: 1 + 24 = 25 9z = 25 Divide each side by '9'. z = 2.777777778 Simplifying z = 2.777777778
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