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Simplifying 12 + 4(z + 3) = 3z + 2 Reorder the terms: 12 + 4(3 + z) = 3z + 2 12 + (3 * 4 + z * 4) = 3z + 2 12 + (12 + 4z) = 3z + 2 Combine like terms: 12 + 12 = 24 24 + 4z = 3z + 2 Reorder the terms: 24 + 4z = 2 + 3z Solving 24 + 4z = 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. 24 + 4z + -3z = 2 + 3z + -3z Combine like terms: 4z + -3z = 1z 24 + 1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 24 + 1z = 2 + 0 24 + 1z = 2 Add '-24' to each side of the equation. 24 + -24 + 1z = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1z = 2 + -24 1z = 2 + -24 Combine like terms: 2 + -24 = -22 1z = -22 Divide each side by '1'. z = -22 Simplifying z = -22
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