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Simplifying -6(z + -4) + 4z = 0 Reorder the terms: -6(-4 + z) + 4z = 0 (-4 * -6 + z * -6) + 4z = 0 (24 + -6z) + 4z = 0 Combine like terms: -6z + 4z = -2z 24 + -2z = 0 Solving 24 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2z = 0 + -24 -2z = 0 + -24 Combine like terms: 0 + -24 = -24 -2z = -24 Divide each side by '-2'. z = 12 Simplifying z = 12
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