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