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Simplifying 9z + -2 = 5z + -46 Reorder the terms: -2 + 9z = 5z + -46 Reorder the terms: -2 + 9z = -46 + 5z Solving -2 + 9z = -46 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2 + 9z + -5z = -46 + 5z + -5z Combine like terms: 9z + -5z = 4z -2 + 4z = -46 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + 4z = -46 + 0 -2 + 4z = -46 Add '2' to each side of the equation. -2 + 2 + 4z = -46 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = -46 + 2 4z = -46 + 2 Combine like terms: -46 + 2 = -44 4z = -44 Divide each side by '4'. z = -11 Simplifying z = -11
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