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Simplifying (10 + 5z) * 2 + 5(z + 4) = 0 Reorder the terms for easier multiplication: 2(10 + 5z) + 5(z + 4) = 0 (10 * 2 + 5z * 2) + 5(z + 4) = 0 (20 + 10z) + 5(z + 4) = 0 Reorder the terms: 20 + 10z + 5(4 + z) = 0 20 + 10z + (4 * 5 + z * 5) = 0 20 + 10z + (20 + 5z) = 0 Reorder the terms: 20 + 20 + 10z + 5z = 0 Combine like terms: 20 + 20 = 40 40 + 10z + 5z = 0 Combine like terms: 10z + 5z = 15z 40 + 15z = 0 Solving 40 + 15z = 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 + 15z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 15z = 0 + -40 15z = 0 + -40 Combine like terms: 0 + -40 = -40 15z = -40 Divide each side by '15'. z = -2.666666667 Simplifying z = -2.666666667
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