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Simplifying 54(z + -47) + 54(z + 47) = 0 Reorder the terms: 54(-47 + z) + 54(z + 47) = 0 (-47 * 54 + z * 54) + 54(z + 47) = 0 (-2538 + 54z) + 54(z + 47) = 0 Reorder the terms: -2538 + 54z + 54(47 + z) = 0 -2538 + 54z + (47 * 54 + z * 54) = 0 -2538 + 54z + (2538 + 54z) = 0 Reorder the terms: -2538 + 2538 + 54z + 54z = 0 Combine like terms: -2538 + 2538 = 0 0 + 54z + 54z = 0 54z + 54z = 0 Combine like terms: 54z + 54z = 108z 108z = 0 Solving 108z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '108'. z = 0 Simplifying z = 0
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