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Simplifying 0 = 6z + -4(z + 2) Reorder the terms: 0 = 6z + -4(2 + z) 0 = 6z + (2 * -4 + z * -4) 0 = 6z + (-8 + -4z) Reorder the terms: 0 = -8 + 6z + -4z Combine like terms: 6z + -4z = 2z 0 = -8 + 2z Solving 0 = -8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 0 + -2z = -8 + 2z + -2z Remove the zero: -2z = -8 + 2z + -2z Combine like terms: 2z + -2z = 0 -2z = -8 + 0 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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