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Simplifying 91 = -7(3z + -1) Reorder the terms: 91 = -7(-1 + 3z) 91 = (-1 * -7 + 3z * -7) 91 = (7 + -21z) Solving 91 = 7 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. 91 + 21z = 7 + -21z + 21z Combine like terms: -21z + 21z = 0 91 + 21z = 7 + 0 91 + 21z = 7 Add '-91' to each side of the equation. 91 + -91 + 21z = 7 + -91 Combine like terms: 91 + -91 = 0 0 + 21z = 7 + -91 21z = 7 + -91 Combine like terms: 7 + -91 = -84 21z = -84 Divide each side by '21'. z = -4 Simplifying z = -4
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