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Simplifying 2(4z + -4) + -4(z + -3) = 0 Reorder the terms: 2(-4 + 4z) + -4(z + -3) = 0 (-4 * 2 + 4z * 2) + -4(z + -3) = 0 (-8 + 8z) + -4(z + -3) = 0 Reorder the terms: -8 + 8z + -4(-3 + z) = 0 -8 + 8z + (-3 * -4 + z * -4) = 0 -8 + 8z + (12 + -4z) = 0 Reorder the terms: -8 + 12 + 8z + -4z = 0 Combine like terms: -8 + 12 = 4 4 + 8z + -4z = 0 Combine like terms: 8z + -4z = 4z 4 + 4z = 0 Solving 4 + 4z = 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 + 4z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = 0 + -4 4z = 0 + -4 Combine like terms: 0 + -4 = -4 4z = -4 Divide each side by '4'. z = -1 Simplifying z = -1
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