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Simplifying -83(z + -71) = -91 + z Reorder the terms: -83(-71 + z) = -91 + z (-71 * -83 + z * -83) = -91 + z (5893 + -83z) = -91 + z Solving 5893 + -83z = -91 + 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. 5893 + -83z + -1z = -91 + z + -1z Combine like terms: -83z + -1z = -84z 5893 + -84z = -91 + z + -1z Combine like terms: z + -1z = 0 5893 + -84z = -91 + 0 5893 + -84z = -91 Add '-5893' to each side of the equation. 5893 + -5893 + -84z = -91 + -5893 Combine like terms: 5893 + -5893 = 0 0 + -84z = -91 + -5893 -84z = -91 + -5893 Combine like terms: -91 + -5893 = -5984 -84z = -5984 Divide each side by '-84'. z = 71.23809524 Simplifying z = 71.23809524
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