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