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Simplifying 8z + 4(5z + 10) = 0 Reorder the terms: 8z + 4(10 + 5z) = 0 8z + (10 * 4 + 5z * 4) = 0 8z + (40 + 20z) = 0 Reorder the terms: 40 + 8z + 20z = 0 Combine like terms: 8z + 20z = 28z 40 + 28z = 0 Solving 40 + 28z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 28z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 28z = 0 + -40 28z = 0 + -40 Combine like terms: 0 + -40 = -40 28z = -40 Divide each side by '28'. z = -1.428571429 Simplifying z = -1.428571429
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