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Simplifying -7(z + 5) = -91 Reorder the terms: -7(5 + z) = -91 (5 * -7 + z * -7) = -91 (-35 + -7z) = -91 Solving -35 + -7z = -91 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -7z = -91 + 35 Combine like terms: -35 + 35 = 0 0 + -7z = -91 + 35 -7z = -91 + 35 Combine like terms: -91 + 35 = -56 -7z = -56 Divide each side by '-7'. z = 8 Simplifying z = 8
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