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Simplifying 4z + 2(z + -3) = 0 Reorder the terms: 4z + 2(-3 + z) = 0 4z + (-3 * 2 + z * 2) = 0 4z + (-6 + 2z) = 0 Reorder the terms: -6 + 4z + 2z = 0 Combine like terms: 4z + 2z = 6z -6 + 6z = 0 Solving -6 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6z = 0 + 6 6z = 0 + 6 Combine like terms: 0 + 6 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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