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Simplifying 3z + -1(z + -4) = 12 Reorder the terms: 3z + -1(-4 + z) = 12 3z + (-4 * -1 + z * -1) = 12 3z + (4 + -1z) = 12 Reorder the terms: 4 + 3z + -1z = 12 Combine like terms: 3z + -1z = 2z 4 + 2z = 12 Solving 4 + 2z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2z = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 12 + -4 2z = 12 + -4 Combine like terms: 12 + -4 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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