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Simplifying 4z + 6 = 9z + -40 Reorder the terms: 6 + 4z = 9z + -40 Reorder the terms: 6 + 4z = -40 + 9z Solving 6 + 4z = -40 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 6 + 4z + -9z = -40 + 9z + -9z Combine like terms: 4z + -9z = -5z 6 + -5z = -40 + 9z + -9z Combine like terms: 9z + -9z = 0 6 + -5z = -40 + 0 6 + -5z = -40 Add '-6' to each side of the equation. 6 + -6 + -5z = -40 + -6 Combine like terms: 6 + -6 = 0 0 + -5z = -40 + -6 -5z = -40 + -6 Combine like terms: -40 + -6 = -46 -5z = -46 Divide each side by '-5'. z = 9.2 Simplifying z = 9.2
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