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Simplifying -54(z + -71) = z + 46 Reorder the terms: -54(-71 + z) = z + 46 (-71 * -54 + z * -54) = z + 46 (3834 + -54z) = z + 46 Reorder the terms: 3834 + -54z = 46 + z Solving 3834 + -54z = 46 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3834 + -54z + -1z = 46 + z + -1z Combine like terms: -54z + -1z = -55z 3834 + -55z = 46 + z + -1z Combine like terms: z + -1z = 0 3834 + -55z = 46 + 0 3834 + -55z = 46 Add '-3834' to each side of the equation. 3834 + -3834 + -55z = 46 + -3834 Combine like terms: 3834 + -3834 = 0 0 + -55z = 46 + -3834 -55z = 46 + -3834 Combine like terms: 46 + -3834 = -3788 -55z = -3788 Divide each side by '-55'. z = 68.87272727 Simplifying z = 68.87272727
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