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Simplifying 4z + -2 + -7z + 6(5z + 8) = 0 Reorder the terms: 4z + -2 + -7z + 6(8 + 5z) = 0 4z + -2 + -7z + (8 * 6 + 5z * 6) = 0 4z + -2 + -7z + (48 + 30z) = 0 Reorder the terms: -2 + 48 + 4z + -7z + 30z = 0 Combine like terms: -2 + 48 = 46 46 + 4z + -7z + 30z = 0 Combine like terms: 4z + -7z = -3z 46 + -3z + 30z = 0 Combine like terms: -3z + 30z = 27z 46 + 27z = 0 Solving 46 + 27z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 27z = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 27z = 0 + -46 27z = 0 + -46 Combine like terms: 0 + -46 = -46 27z = -46 Divide each side by '27'. z = -1.703703704 Simplifying z = -1.703703704
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