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Simplifying 2(4z + -8) + -4(z + -2) = 0 Reorder the terms: 2(-8 + 4z) + -4(z + -2) = 0 (-8 * 2 + 4z * 2) + -4(z + -2) = 0 (-16 + 8z) + -4(z + -2) = 0 Reorder the terms: -16 + 8z + -4(-2 + z) = 0 -16 + 8z + (-2 * -4 + z * -4) = 0 -16 + 8z + (8 + -4z) = 0 Reorder the terms: -16 + 8 + 8z + -4z = 0 Combine like terms: -16 + 8 = -8 -8 + 8z + -4z = 0 Combine like terms: 8z + -4z = 4z -8 + 4z = 0 Solving -8 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 0 + 8 4z = 0 + 8 Combine like terms: 0 + 8 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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