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Simplifying 3(z + 4) = 2z Reorder the terms: 3(4 + z) = 2z (4 * 3 + z * 3) = 2z (12 + 3z) = 2z Solving 12 + 3z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 12 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z 12 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 12 + 1z = 0 Add '-12' to each side of the equation. 12 + -12 + 1z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 0 + -12 1z = 0 + -12 Combine like terms: 0 + -12 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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