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