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Simplifying 4 + 2(5z + -5) + 7z = 0 Reorder the terms: 4 + 2(-5 + 5z) + 7z = 0 4 + (-5 * 2 + 5z * 2) + 7z = 0 4 + (-10 + 10z) + 7z = 0 Combine like terms: 4 + -10 = -6 -6 + 10z + 7z = 0 Combine like terms: 10z + 7z = 17z -6 + 17z = 0 Solving -6 + 17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 17z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 17z = 0 + 6 17z = 0 + 6 Combine like terms: 0 + 6 = 6 17z = 6 Divide each side by '17'. z = 0.3529411765 Simplifying z = 0.3529411765
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