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Simplifying 2(2z + 5) + 3z = 0 Reorder the terms: 2(5 + 2z) + 3z = 0 (5 * 2 + 2z * 2) + 3z = 0 (10 + 4z) + 3z = 0 Combine like terms: 4z + 3z = 7z 10 + 7z = 0 Solving 10 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7z = 0 + -10 7z = 0 + -10 Combine like terms: 0 + -10 = -10 7z = -10 Divide each side by '7'. z = -1.428571429 Simplifying z = -1.428571429
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