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Simplifying 3(2z + 8) + -4(z + -8) = 0 Reorder the terms: 3(8 + 2z) + -4(z + -8) = 0 (8 * 3 + 2z * 3) + -4(z + -8) = 0 (24 + 6z) + -4(z + -8) = 0 Reorder the terms: 24 + 6z + -4(-8 + z) = 0 24 + 6z + (-8 * -4 + z * -4) = 0 24 + 6z + (32 + -4z) = 0 Reorder the terms: 24 + 32 + 6z + -4z = 0 Combine like terms: 24 + 32 = 56 56 + 6z + -4z = 0 Combine like terms: 6z + -4z = 2z 56 + 2z = 0 Solving 56 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 2z = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 2z = 0 + -56 2z = 0 + -56 Combine like terms: 0 + -56 = -56 2z = -56 Divide each side by '2'. z = -28 Simplifying z = -28
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